Solving Quadratic Equations Jeopardy

Solve each equation by factoring.

300

p² + -2p - 10 = 5

5, -3

400

9n² + 39n = -36

-4/3, -3

500

7r² + 84 = -49r

-4, -3

600

3v² + 7v = 40

8/3, -5

Solve using square roots.

300

4x² + 25 = 125

x= 5 or x = -5

400

(4x + 1)² - 16 = 0

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

500

34 = (a - 2)² - 2

a = 8 or a = -4

600

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

300

m² − 5m − 14 = 0

{7, −2}

400

b² − 4b + 4 = 0

{2}

500

2x² − 3x − 5 = 0

{5/2 , −1}

600

9n² = 4 + 7n

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

Solve by Completing the Square

300

y² − 26y +____

169

(y-13)²

400

b² + 8b - 33 = 0

{3, -11}

500

x² + 10x − 9 = 7

{-5 + sqrt(41),  -5 - sqrt(41)}

600

b² + 2b + 16 = -5

{ -1 + 2i sqrt(5),    -1 - 2i sqrt(5)}

☠Pick your Poison (choose method)

300

a² + 14a - 51 = 0

{3, -17}

400

x² − 12x + 11 = 0

{11, 1}

500

n² = 18n + 40

{20, −2}

600

x² − 10x + 26 = 8

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