Solving Quadratic Equations

Factoring

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

200

Solve the following quadratic equation by factoring. x² + 3x + 2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by factoring. x² - 6x = -5

x = 5 x = 1

400

Solve the following quadratic equation by factoring. x² - 8 = 7x

x = 8 x = -1

500

Solve the following quadratic equation by factoring. 2x² + 6x + 11 = x² + 2

x = -3

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: 5x² - 2 = 318

8 or -8

500

Solve the following quadratic equation by using square roots: -6x² + 2 = 56

no real solution

Completing the Square

100

Solve the following quadratic equation by completing the square: 6x² - 12x - 88 = 0

x = 3 x = -1

200

Solve the following quadratic equation by completing the square: 2x² - 20x -78 = 0

x = 13 x = -3

300

Solve the following quadratic equation by completing the square: 3x² + 18x + 15 = 0

x = -1 x = -5

400

Solve the following quadratic equation by completing the square: 5x² - 10x - 30 = 0

x = 1 + sqrt7 x = 1- sqrt7

500

Solve the following quadratic equation by completing the square: 7x² + 14x - 56 = 0

x = 2 x = -4

Quadratic Formula

100

What is the quadratic formula?

x = -b ± √(b² - 4ac) 2a

200

Solve the following quadratic equation by using the quadratic formula: 4x² + 3x + 3 = 0

No real solution

300

Solve the following quadratic equation by using the quadratic formula: 5x² - 3x - 7 = 0

x = 3 +/- sqrt149 all over 10

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

Simplify Radicals

100

sqrt(49)

+-7

200

sqrt(-81)

9,-9

300

sqrt(112)

4sqrt(7)

400

sqrt(-128)

8isqrt(2)

500

sqrt(-5)

+-isqrt5