Solving Quadratic Equations

Solve each equation by factoring.

100

p² + -2p - 10 = 5

5, -3

200

9n² + 39n = -36

-4/3, -3

300

7r² + 84 = -49r

-4, -3

400

3v² + 7v = 40

8/3, -5

Solve using square roots.

100

4x² + 25 = 125

x= 5 or x = -5

200

(4x + 1)² - 16 = 0

x = 3/4 or x = -5/4

300

34 = (a - 2)² - 2

a = 8 or a = -4

400

0 = 3(x + 7)² - 24

x = -7 + 2 square root of 2

or

x = -7 - 2 square root of 2

Solve each equation with the quadratic formula

100

m² − 5m − 14 = 0

{7, −2}

200

b² − 4b + 4 = 0

{2}

300

2x² − 3x − 5 = 0

{5/2 , −1}

400

9n² = 4 + 7n

{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}

☠Pick your Poison (choose method)

100

a² + 14a - 51 = 0

{3, -17}

200

x² − 12x + 11 = 0

{11, 1}

300

n² = 18n + 40

{20, −2}

400

x² − 10x + 26 = 8

{5 + square root 7, 5 square root − 7}