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 = 25

x = 1 and -9

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 No Solution?

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 = 2 x = -2

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 +16 = 0

x = -2 x = -8

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

Find The Discriminant

100

If the discriminant of a quadratic equation is 0, how many real roots does it have?

What is 1?

200

Find the discriminant of the equation 0 = 6x² + 2x + 3 and then state the number of real roots.

What is -68 and no real roots.

300

Calculate the discriminant of 9x² + 30x + 25 = 0 and state how many real roots it has.

What is 0 and 1 real root

400

Give the discriminant:

5x² + 3x - 9 = 0

What is 189?

500

Find the discriminant of  4x² + 3x = 9.

What is 153?