Solving Quadratic Equations Jeopardy

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

500

a^2-49=0

a=+-7

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 +66

a=+-4isqrt2 +2

400

0 = 3(x + 7)² - 24

-7+-2sqrt2

500

Simplify (3-2i) - 2i(8-6i)

-9-18i

Solve each equation with the quadratic formula

100

m² − 5m − 14 = 0

{7, −2}

200

How many and what type of solutions comes from this equation?

4n^2-4n-24

2 real

300

2x² − 3x − 5 = 0

{5/2 , −1}

400

9n² = 4 + 7n

(7+-sqrt193)/18

500

Find a possible pair of integer values for a and c so that the equation has 2 imaginary solutions.

ax^2+4x+c=0

1,5 (sample)

☠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}

5+-sqrt7

500

7(x-4)^2-18=10

x=6,2

Solve by completing the square

100

What value of c would make this a perfect square trinomial?

x^2+4x+c

16

200

What value of c would make this a perfect square trinomial?

s^2-26x+c

c=169

300

x^2+4x-2

-2+-sqrt6

400

x^2+6x+3

-3+-sqrt6

500

Convert to vertex form and find the vertex. 

s^2+2s-6

(-2,-10)