Solving Quadratic Equations

Factoring

100

(x+1)(x-1)= 0

{-1, 1}

200

Solve the following quadratic equation by factoring:

9x² - 81 = 0

{-3, 3}

300

Factor the following quadratic equation by factoring.

 n² - 7n + 6=0

(n-6)(x-1)

400

Solve the following quadratic equation by factoring. 

b² - 8b = 20

{10, -2}

500

Solve the following quadratic equation by factoring. 

2x² + 15x + 25 = 2x +5

{-4, -5/2}

Completing the Square

100

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

{-4, -2}

200

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

{1, 5}

300

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

{-4, 6}

400

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

-5 +- 2(sqrt5)

500

Solve the following quadratic equation by completing the square: 

x² - 8x + 13 = 0

4 +-sqrt 3

Taking Square Roots

100

Solve the following quadratic equation  x²  = 16

{-4, 4}

200

Solve the following quadratic equation : x²  = -16

x = +- 4i

300

Solve the following quadratic equation by completing the square: x² - 2 = 23

{-5, 5}

400

Solve the following quadratic equation. x² + 5 = 0

+- i*root(5)

500

Solve the following quadratic equation: 

2x² -5 = 13

x = 3, x = -3

Quadratic Formula

100

State the quadratic formula?

x =( -b pm sqrt(b^2 - 4ac)) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x +10  = 0

-3 +- i

300

Solve the following quadratic equation by using the quadratic formula. x² - 9x + 6 = 0

(9 pm sqrt(57))/2

400

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

{-1/2, -4}

500

Solve the following quadratic equation by using the quadratic formula (nearest tenth): 

4x² - 17x =-12 

x = (17 pm sqrt(97))/8

;)

100

simplify the radical

root(-54)

+- 3i root(6)

200

simplify the following 

root(-20) + root(-45)

5i root(5)

300

Simplify the following 

(3-2i)(-5+7i)

-1 + 31i

400

What is the standard form of a quadratic equation?

ax² + bx + c = 0

500

(3-6i)(5+6i)

51