1 Put y = 1199092 minus 6119909 + 10 in vertex form
2 Put 21199092 + 4119909 minus 5 = 119910 in vertex form
3 Put 3(119909 minus 2)2 + 4 = 119910 in standard form
War
m U
p Thursday February 19 2015
Hint Use ℎ =minus119887
2119886or your calculator
Page 7 in your study guide
Objectives
Homework
Solve equations containing radical expressions
Packet Page 15 2 3 6 8 and 9Packet Page 16 11-21 odd
War
m U
p
Recognize when extraneous solutions may arise when solving radical equations and check solutions to determine which solutions may be extraneous
1st block 915 ndash 10172nd block 1023 ndash 1125
A lunch 3rd block class 1156 -100A lunch 1125 ndash 1150
B lunch 3rd block class 1131 ndash 1200 1231 ndash 100B lunch 1200 ndash 1225
C lunch 3rd block class 1131 ndash 1235C lunch 1235 ndash 100
4th block 106 ndash 215
Schedule todayhellip
No Enrichment
The progress report you have is for your eyes only You will receive a new report next week that will need to be signed
Look at what assignments are missing You can still turn things in Any grade is better than a ZERO
CASTLE LEARNING ASSIGNMENTS
go to wwwcastlelearningcom
Logon ID is cms-student id
For example if your user id is 48309203 your user id is cms-48309203
You donrsquot need a password the first time you log in Yoursquoll be prompted to create one
GET OUT YOUR PHONES
Ho
mew
ork
Rev
iew
What is a Radical Equation
An equation that has a variable in a radicand or a variable with a rational exponent
3 + 2119909 minus 3 = 8
Solv
ing
Rad
ical
Eq
uat
ion
s
Three basic stephellip
3 + 2119909 minus 3 = 8 1 Isolate the radical expression
2119909 minus 3 = 5
( 2119909 minus 3)2= 52
2119909 minus 3 = 25
minus3 minus3
+3+3
2119909 = 28
2119909
2=28
2119909 = 14
2 Square both sides
3 Solve for x
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Objectives
Homework
Solve equations containing radical expressions
Packet Page 15 2 3 6 8 and 9Packet Page 16 11-21 odd
War
m U
p
Recognize when extraneous solutions may arise when solving radical equations and check solutions to determine which solutions may be extraneous
1st block 915 ndash 10172nd block 1023 ndash 1125
A lunch 3rd block class 1156 -100A lunch 1125 ndash 1150
B lunch 3rd block class 1131 ndash 1200 1231 ndash 100B lunch 1200 ndash 1225
C lunch 3rd block class 1131 ndash 1235C lunch 1235 ndash 100
4th block 106 ndash 215
Schedule todayhellip
No Enrichment
The progress report you have is for your eyes only You will receive a new report next week that will need to be signed
Look at what assignments are missing You can still turn things in Any grade is better than a ZERO
CASTLE LEARNING ASSIGNMENTS
go to wwwcastlelearningcom
Logon ID is cms-student id
For example if your user id is 48309203 your user id is cms-48309203
You donrsquot need a password the first time you log in Yoursquoll be prompted to create one
GET OUT YOUR PHONES
Ho
mew
ork
Rev
iew
What is a Radical Equation
An equation that has a variable in a radicand or a variable with a rational exponent
3 + 2119909 minus 3 = 8
Solv
ing
Rad
ical
Eq
uat
ion
s
Three basic stephellip
3 + 2119909 minus 3 = 8 1 Isolate the radical expression
2119909 minus 3 = 5
( 2119909 minus 3)2= 52
2119909 minus 3 = 25
minus3 minus3
+3+3
2119909 = 28
2119909
2=28
2119909 = 14
2 Square both sides
3 Solve for x
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
1st block 915 ndash 10172nd block 1023 ndash 1125
A lunch 3rd block class 1156 -100A lunch 1125 ndash 1150
B lunch 3rd block class 1131 ndash 1200 1231 ndash 100B lunch 1200 ndash 1225
C lunch 3rd block class 1131 ndash 1235C lunch 1235 ndash 100
4th block 106 ndash 215
Schedule todayhellip
No Enrichment
The progress report you have is for your eyes only You will receive a new report next week that will need to be signed
Look at what assignments are missing You can still turn things in Any grade is better than a ZERO
CASTLE LEARNING ASSIGNMENTS
go to wwwcastlelearningcom
Logon ID is cms-student id
For example if your user id is 48309203 your user id is cms-48309203
You donrsquot need a password the first time you log in Yoursquoll be prompted to create one
GET OUT YOUR PHONES
Ho
mew
ork
Rev
iew
What is a Radical Equation
An equation that has a variable in a radicand or a variable with a rational exponent
3 + 2119909 minus 3 = 8
Solv
ing
Rad
ical
Eq
uat
ion
s
Three basic stephellip
3 + 2119909 minus 3 = 8 1 Isolate the radical expression
2119909 minus 3 = 5
( 2119909 minus 3)2= 52
2119909 minus 3 = 25
minus3 minus3
+3+3
2119909 = 28
2119909
2=28
2119909 = 14
2 Square both sides
3 Solve for x
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
The progress report you have is for your eyes only You will receive a new report next week that will need to be signed
Look at what assignments are missing You can still turn things in Any grade is better than a ZERO
CASTLE LEARNING ASSIGNMENTS
go to wwwcastlelearningcom
Logon ID is cms-student id
For example if your user id is 48309203 your user id is cms-48309203
You donrsquot need a password the first time you log in Yoursquoll be prompted to create one
GET OUT YOUR PHONES
Ho
mew
ork
Rev
iew
What is a Radical Equation
An equation that has a variable in a radicand or a variable with a rational exponent
3 + 2119909 minus 3 = 8
Solv
ing
Rad
ical
Eq
uat
ion
s
Three basic stephellip
3 + 2119909 minus 3 = 8 1 Isolate the radical expression
2119909 minus 3 = 5
( 2119909 minus 3)2= 52
2119909 minus 3 = 25
minus3 minus3
+3+3
2119909 = 28
2119909
2=28
2119909 = 14
2 Square both sides
3 Solve for x
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
CASTLE LEARNING ASSIGNMENTS
go to wwwcastlelearningcom
Logon ID is cms-student id
For example if your user id is 48309203 your user id is cms-48309203
You donrsquot need a password the first time you log in Yoursquoll be prompted to create one
GET OUT YOUR PHONES
Ho
mew
ork
Rev
iew
What is a Radical Equation
An equation that has a variable in a radicand or a variable with a rational exponent
3 + 2119909 minus 3 = 8
Solv
ing
Rad
ical
Eq
uat
ion
s
Three basic stephellip
3 + 2119909 minus 3 = 8 1 Isolate the radical expression
2119909 minus 3 = 5
( 2119909 minus 3)2= 52
2119909 minus 3 = 25
minus3 minus3
+3+3
2119909 = 28
2119909
2=28
2119909 = 14
2 Square both sides
3 Solve for x
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Ho
mew
ork
Rev
iew
What is a Radical Equation
An equation that has a variable in a radicand or a variable with a rational exponent
3 + 2119909 minus 3 = 8
Solv
ing
Rad
ical
Eq
uat
ion
s
Three basic stephellip
3 + 2119909 minus 3 = 8 1 Isolate the radical expression
2119909 minus 3 = 5
( 2119909 minus 3)2= 52
2119909 minus 3 = 25
minus3 minus3
+3+3
2119909 = 28
2119909
2=28
2119909 = 14
2 Square both sides
3 Solve for x
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
What is a Radical Equation
An equation that has a variable in a radicand or a variable with a rational exponent
3 + 2119909 minus 3 = 8
Solv
ing
Rad
ical
Eq
uat
ion
s
Three basic stephellip
3 + 2119909 minus 3 = 8 1 Isolate the radical expression
2119909 minus 3 = 5
( 2119909 minus 3)2= 52
2119909 minus 3 = 25
minus3 minus3
+3+3
2119909 = 28
2119909
2=28
2119909 = 14
2 Square both sides
3 Solve for x
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Three basic stephellip
3 + 2119909 minus 3 = 8 1 Isolate the radical expression
2119909 minus 3 = 5
( 2119909 minus 3)2= 52
2119909 minus 3 = 25
minus3 minus3
+3+3
2119909 = 28
2119909
2=28
2119909 = 14
2 Square both sides
3 Solve for x
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 3 and 9 on Packet Page 15
3) 9)
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
It can get a little complicated Sometimes we cause extraneous solutions to appear when we solve radical equations
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
So what do we mean by extraneous solutionshellip
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
To check our answers we substitute them back into the original equation and see if they produce a true statement
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Solv
ing
Rad
ical
Eq
uat
ion
sDo problems 11 and 15 on Packet Page 16
11) 15)
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Whenever we square both sides of an equation to solve we may be introducing extraneous solutions into the equation
When checking your solutions use the original when substituting values
Remember
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
What if
you have
more than
one
radical in
the
equation
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Check your
answershellip
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
What if you have to solve an equation like the following
119909 + 6119894 2 + 119894 = 14 + 22119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Solve each part for x
Set Corresponding Parts Equal
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Now you try Solve for x
3 + 2119894 1 minus 119909119894 = 9 minus 7119894
Simplify (use i2=-1)
Expand the left side (FOIL)
Group real and imaginary terms
Set Corresponding Parts Equal
Solve each part for x
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
Work on your homework
Solv
ing
Rad
ical
Eq
uat
ion
s
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