Solving Quadratic Equations

Solve by Factoring

100

Solve for the x-values in the following quadratic equation:

(x - 7)(x + 2) = 0

x=7  x=-2

200

Factor in order to calculate the x-values in the following quadratic equation:

 x²+3x+2 = 0

x=-2  x=-1

300

Factor in order to calculate the x-values in the following quadratic equation:

 x² - 6x + 5 = 0

x=5  x=1

400

Factor in order to calculate the x-values in the following quadratic equation:

 x² - 6x - 27 = 0

x=9  x=-3

500

Factor in order to calculate the x-values in the following quadratic equation: 

x² - 7x - 78 = 0

x=13  x=-6

Solve by Square Roots

100

Solve the following quadratic equation by using square roots: 

x² = 4

x=2  x=-2

200

Solve the following quadratic equation by using square roots: 

x² = 121

x=11  x=-11

300

Solve the following quadratic equation by using square roots: 

4x² = 400

x=10  x=-10

400

Solve the following quadratic equation by using square roots: 

x² -9 = -8

x=1  x=-1

500

Solve the following quadratic equation by using square roots: 

5x² + 3 = 128

x=5  x=-5

Factoring

100

Factor the quadratic expression fully: 

x²+5x+4=0

(x+4)(x+1)

200

Factor the quadratic expression fully: 

m²-m-90=0

(m+9)(m-10)

300

Factor the quadratic expression fully: 

n²+21n+98=0

(n+7)(n+14)

400

Factor the quadratic expression fully: 

a²-6a-72=0

(a+6)(a-12)

500

Factor the quadratic expression fully: 

r²-24r+63

(r-21)(r-3)

Difference of Squares

100

Factor: 

a²-9

(a+3)(a-3)

200

Factor:

a²-16

(a+4)(a-4)

300

Factor: 

9x²-25

(3x-5)(3x+5)

400

Factor: 

16x²-4

(4x+2)(4x-2)

500

Factor: 

25x²-1

(5x-1)(5x+1)