Quadratic Equations Review

Square Roots

100

Solve for the roots.

x^2-49=0

+7 and -7

200

Solve for the roots.

x^2+16=0

No Solution

300

Solve for the roots.

2x^2-200=0

-10 and 10

400

Solve for the roots.

9x^2 + 5 = 41

-2 and 2

500

Solve for the roots.

(x-3)^2=25

-2 and 8

Factoring

100

Solve the following quadratic equation by factoring: 

x² -4x - 12=0

x = -2, 6

200

Solve the following quadratic equation by factoring:

x² + 8x = -16.

x = -4

300

Solve the following quadratic equation by factoring:

3x² = 9x.

x = 0, 3

400

Solve the following quadratic equation by factoring: 

2x² - 28x =144

x = -4, 18

500

Solve the following quadratic equation by factoring:

12n² − 5n = 3

x = -1/3, 3/4

Completing The Square

100

Solve the following equations by completing the square

x ^2 + 6x + 8 = 0

-2 and -4

200

Solve the following equations by completing the square

x ^2 + 14x − 15 = 0

1 and -15

300

Solve the following equations by completing the square

n^ 2 − 2n − 3 = 0

3 and -1

400

Solve the following equations by completing the square

k ^2 − 12k + 23 = 0

6+-\sqrt13

 

500

Solve the following equations by completing the square

p^ 2 + 14 p − 38 = 0

-7 +- \sqrt87

Quadratic Formula

100

Solve using the quadratic formula

x^2-5x-14=0

7 and -2

200

Solve using the quadratic formula

2x^2+2x-12=0

2 and -3

300

Solve using the quadratic formula

x^2-4x+4=0

2

400

Solve using the quadratic formula

2x^2+3x-20=0

5/2 and -4

500

Solve using the quadratic formula

2x^ 2 − 7x − 13 = −10

(7+-\sqrt73)/4

Pick your poison

100

a² + 14a - 51 = 0

3, -17

200

x² − 12x + 11 = 0

11, 1

300

n² = 18n + 40

20, −2

400

p^ 2 + 14 p − 38 = 0

-7 +- \sqrt87

500

x² − 10x + 26 = 8

5+sqrt7, 5-sqrt7