Solving Quadratic Equations

Square Roots 2

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)² = 64

x =15 and -1

200

Solve the following quadratic equation by taking the square root.  (x + 4)² = 24

x = 2sqrt6 - 4, x = -2sqrt6 - 4

300

Solve the following quadratic equation by taking the square root.  2(x + 7)² = 32

What is x = -3 and -11?

400

Solve the following quadratic equation by taking the square root.  3(x - 9)² + 75 = 0

What is 5i + 9, -5i + 9

500

Solve the following quadratic equation by taking the square root.  2(x + 1)² - 5 = -3

What is x = 0 and -2?

Square Roots

100

Solve the following quadratic equation by using square roots: x² = -4

x = 2i x = -2i

200

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

500

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

Completing the Square

100

Solve the following quadratic equation by completing the square: x² + 6x = -8

x = -2 x = -4

200

Solve the following quadratic equation by completing the square: x² - 6x = -5

x = 1 x = 5

300

Solve the following quadratic equation by completing the square: x² - 2x - 24 = 0

x = -4 x = 6

400

Solve the following quadratic equation by completing the square: x² + 10x +13 = 0

x = -2isqrt2 - 5 x = 2isqrt2 - 5

500

Solve the following quadratic equation by completing the square: 2x² - 8x = 10

x = 5 x = -1

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 5 = 0

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula: x² - 9x + 20 = 0

x = 5 x = 4

400

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

x = -1/2 x = -4

500

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4

Solving by Factoring

100

Solve the following:

x²-2x-8=0

What is x = 4, x = -2

200

Solve the following: 

x²+2x-9=2x

x = -3 and x = 3

300

Solve by Factoring:

x²+x-61 = -5

What is x = -8 and x = 7 ?

400

Solve by Factoring:

6x²-18x-18 = -6

What is 4, -1?

500

6x²-13x+3 = - 3

What is 2/3, 3/2?