Quadratics Final Review

Solving Quadratics by Completing the Square

100

x² − 12x + 11 = 0

(11, 1)

200

x² + 14x − 15 = 0

(1, −15)

300

8x² + 16x = 42

(3/2 , -7/2}

400

3x² = −4 + 8x

(2, 2/3)

500

2x² = −6 + 8x

(3, 1)

Solving Quadratics By Taking Square Roots

100

Solve the equation by taking the square root : 

x²=9

x = plus or minus 3

200

Solve the equation by taking the square root : 

7x²=63

x = plus or minus 3

300

Solve the equation by taking the square root : 

x²+9=13

x = plus or minus 2

400

Solve the equation by taking the square root : 

(x-4)²-16=0

x = 0 and x=8

500

Solve the equation by taking the square root : 

(x-3)²-18=0

x = -1.24 and 7.24 or x = 3 - 3(sqrt(2)) and 3 + 3(sqrt(2))

Solve by any method

100

v²+2v-8=0

2 and -4

200

4(x+1)²=16

1 and -3

300

x²+2x-24=0

-6 and 4

400

x²-11x+19=-5

3 and 8

500

p² - 5p - 14 = 0

p = -2 and 7

Solve by Factoring

100

Solve the Quadratics by Factoring

x²+2x=3

x = -3,1

200

Solve the Quadratics by Factoring 

x²+16=10x

x = 2, 8

300

Solve the Quadratics by Factoring

x²-5x+6=0

x = 2 and 3

400

Solve the Quadratics by Factoring

6n² - n=2

n = -1/2 and 2/3

500

Solve the Quadratics by Factoring

2x²-8=31x-2x²

x = -1/4 and 8

Solve using Quadratic Formula

100

x² − 4x + 4 = 0

(2)

200

x² + 4x + 3 = 0

(-1, -3)

300

4x² + 8x + 7 = 4

(-1/2, -3/2)

400

x² − 31 − 2x = −6 − 3x² − 2x

(5/2, -5/2)

500

2x² − 7x − 13 = −10

(7+√73 / 4, 7-√73 / 4)