Warm up – Solve by Taking Roots

2

2

11. 6 84

2. 6 2 23

x

x

6 4 2

142

i

Skills Check – Solve by Taking Roots

Questions over HW?

The Discriminant

b ac2 4

The Discriminant tells how many & what type

of solutions the quadratic has.

b ac2 4

Put the quadratic in standard form

first!

b ac2 4 If the discriminant is POSITIVE, then you will have 2 real roots. If the discriminant is ZERO, then you will have 1 real root.

If the discriminant is NEGATIVE, then you will have 2 imaginary roots.

Foldable Notes

acb 42

Fold your paper over (top to bottom leaving about an inch at the bottom).

acb 42

acb 42

acb 42

Determine the number & types of roots.Example: 1

0432 xxb ac2 4 ( ) ( )( )3 4 1 42

9 16 7

Determine the number & type of roots.

Example: 20442 xx

b ac2 4 ( ) ( )( )4 4 1 42

16 160

Determine the number & type of roots.Example: 3

0452 xxb ac2 4 ( ) ( )( )5 4 1 42

25 169

Solving by the

Quadratic Formula

Quadratic Formula

aacbbx

242

Everything must be on the same side of the equals sign before solving

Question #1Use the quadratic formula to find the zeros.

2 6 3f x x x

3 6x

Question #2Use the quadratic formula to find the zeros.

2 9 10f x x x

9 412 2

x

Question #3Use the quadratic formula to find the zeros.

22 4 5x x

5 74 4

ix

Question #4Use the quadratic formula to find the zeros.

22 4 1x x

612

x

HomeworkSolving Quadratics

WS