Solving Quadratic Equations
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Solving Quadratic Equations
description
Solving Quadratic Equations. Before we learn to solve quadratic equations, we need to remember an important property!. Zero Product Property. If ab = 0, then a = 0 or b = 0. Examples:. a and b are real numbers (“factors”). a2= 0, then a = 0. 3b = 0 then b = 0. - PowerPoint PPT Presentation
Transcript of Solving Quadratic Equations
Solving Quadratic Equations
Before we learn to solve quadratic equations, we need to remember an important property!
Zero Product Property
Examples:
If ab = 0, then a = 0 or b = 0.
a and b are real numbers (“factors”)
a2= 0, then a = 0
3b = 0 then b = 0a(a + 2) = 0, then a = 0 or a +2 = 0 SO…a = 0 or a = -2.
Solving Quadratics
Let’s learn how to solve quadratics by factoring the greatest common
factor!
When solving by factoring the GCF, the quadratic equation will look a certain way!
The quadratic equation will have two types of terms: A quadratic term and a linear term. 02 bxax
Examples
ww 24 2 035 2 tt
OK, so how do we solve quadratic equations that look this way?!!!
Solve by factoring GCFww 24 2
0
02
w
w
024 2 ww
0)12(2 ww
2
1
012
w
w
Solve
Step 1: Make one side zero, if not already.
Step 2: Factor out the GCF.
Step 3: Set each factor to zero and solve for the variable.
OR
Let’s Practice!
You Try It!
0)35( tt
035 2 ttSolve
035or 0 ttFactor the
GCF!5
3or 0 tt
YOU DID IT!Hooray!!!
THE END
