Solving Quadratic Equations Review

Simplifying Radicals

100

Simplify the Square Root of 144

-12, 12

200

Simplify the Square Root of 225

-15, 15

300

Simplify the Square Root of 121

-11, 11

400

Simplify the Square Root of 123

no rational soluiton

500

Simplify the Square Root of 32

4sqrt2

-4sqrt2

Solving Quadratics By Taking Square Roots

100

Solve the equation by taking the square root : 

x²=9

-3, 3

200

Solve the equation by taking the square root : 

7x²=63

x = -3, 3

300

Solve the equation by taking the square root : 

x²+9=13

-2, 2

400

Solve the equation by taking the square root : 

7x²-3=459

-sqrt 66, sqrt 66

500

Solve the equation by taking the square root : 

6x²-9=255

-2sqrt11, 2sqrt11

Difference of Squares

100

x²-4

-2, 2

200

Factor the polynomial using the difference of two squares : 

81x²-25

-5/9, 5/9

300

Factor the polynomial using the difference of two squares : 

x²+16

PRIME

400

Factor the polynomial using the difference of two squares : 

50x²-32

-4/5, 4/5

500

Factor the polynomial using the difference of two squares : 

36x³-100x

-5/3, 5/3

Quadratic Formula

100

Solve by using the Quadratic Formula 

2x²+9+11x = 0

-1, -9/2

 

200

Solve the equation 4x²+8x-5=0

-5/2, 1/2

300

Solve by using the Quadratic Formula 

3x²+9x-2=0

(-9+(sqrt105))/6

(-9-(sqrt105))/6

400

Solve by using the Quadratic Formula 

2x²+2=-5

-sqrt14/2, sqrt14/2

500

Solve by using the Quadratic Formula 

6x²-7x=-6

(7+sqrt95)/12, (7-sqrt95)/12

Factoring

100

Solve the Quadratics by Factoring

x²-12x+20=0

10, 2

200

Solve the Quadratics by Factoring 

x²+6x+4=-4

-2, -4 

300

Solve the Quadratics by Factoring

n²-18n-5=-50

3, 15

400

Solve the Quadratics by Factoring

x²+12x-20=8

2 and -14

500

Solve the Quadratics by Factoring

x²-8x+8=17

-1, 9