Solving Quadratics

Factoring

100

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

x = -2 x = -1

200

Solve the following quadratic equation by factoring. x² - 6x - 27 = 0

x = 9 x = -3

300

Solve by factoring. x² - 17x + 49 = -3x

x = 7

400

Solve the following quadratic equation by factoring. 2x² - 5x - 3 = 0

x = -1/2 x = 3

500

Solve the following quadratic equation by factoring. 6x² + 12x = 5x + 3

x = -3/2  x = 1/3

Square Roots

100

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

+11 or -11

200

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

1 or -1

300

Solve the following quadratic equation by using square roots: x² - 3 = 95

x = + - 7 sqrt(2)

400

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

x = 5 x = -5

500

Solve by square roots. 4x² - 1 = 48

x = 7/2  x = - 7/2

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: 4x² - 17x - 15 = 0

x = 5 x = -3/4

400

Solve the following quadratic by using the quadratic formula. -x² + 4x - 9 = 0

NO solution

500

Solve the following quadratic by using the quadratic formula. -x² + 9 = 3x

(3 +- 3sqrt(5)) / -2

Other / Complete the Square

100

What is the discriminant of the following quadratic function? x² +5x -5 = 0

45

200

Solve by graphing and use the table on your calculator. x² + 10x + 25 = 0

x = -5

300

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

x = 1 x = 5

400

Solve the following quadratic equation by completing the square: x² + 10x +16 = 0

x = -2 x = -8

500

Solve the following quadratic by completing the square. x² + 62 =16x

8 + - sqrt(2)