Solving Quadratic Equations Review

Solve each equation by factoring.

100

x^2+23x+90

{-5, -18}

200

9n² + 39n = -36

-4/3, -3

300

7r² + 84 = -49r

-4, -3

400

3v² + 7v = 40

8/3, -5

500

49p² + 371p - 163 = 5

3/7, -8

Solve using square roots.

100

x² + 1 = 9

x= 2sqrt2 and x=-2sqrt2

200

2x²+72=0

x=6i and x=-6i

300

5x²-10=6

x=4sq5/5 and x=-4sq5/5

400

y = a² - 2

y=18

a = 2sqrt5

or

a =-2sqrt5

500

y = 3(x + 7)² - 24

x = -7 + 2 square root of 2

or

x = -7 - square root of 2

Solve each equation by any 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}

500

(4x + 1)² - 8 = 0

x = -1/4 +  (sqrt 2)/4

or

x =  -1/4 -  (sqrt 2)/4

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}

500

-2x²-7=20+2x²

x=3isqrt3/2 and x=-3isqrt3/2

Random

100

What is the term for the portion of the quadratic equation under the radical?

discriminant

200

What is the square root of -1?

i

300

What methods can be used to solve the following equation?

y = x² − 6x + 5

quadratic formula

factoring

400

How many x-intercepts does the following equation have?x

x²+4x+15=0

0

500

What is the name of Mr. Knust's dog?

Henry