Simplifying Radicals
Solving Quadratics By Taking Square Roots
Difference of Two Squares
Quadratic Formula
Completing the Square
100

Simplify the Square Root of 144

12

100

Solve the equation by taking the square root : 

x2=9

x = plus or minus 3

100

Factor the polynomial using the difference of two squares : 

x2-4

(x-2)(x+2)

100

Solve by using the Quadratic Formula 

3x2+9x-2=0

-9 plus or minus square root 105 divided by 6 

100

Solve the Quadratics by Completing the Square 


x2-12x+89=9

6 plus or minus 2i square root 11

200

Simplify the Square Root of 448

8 square root 7 

200

Solve the equation by taking the square root : 

7x2=63

x = plus or minus 3

200

Factor the polynomial using the difference of two squares : 

81x2-25

(9x+5)(9x-5)

200

Solve by using the Quadratic Formula 

2x2-5=9x

x = 5 , -1/2

200

Solve the Quadratics by Completing the Square 

x2+6x+58=-5

-3 plus or minus 3i square root 6 

300

Simplify the Square Root of 231

cannot be simplified 

300

Solve the equation by taking the square root : 

x2+9=13

x = plus or minus 2

300

Factor the polynomial using the difference of two squares : 

x2+16

PRIME

300

Solve by using the Quadratic Formula 

6x2-7x=-6

x = 7 plus or minus i square root 95 divided by 12 

300

Solve the Quadratics by Completing the Square 


n2-18n+76=-9

9 plus or minus 2i

400

Simplify the Square Root of -40

2i square root 10

400

Solve the equation by taking the square root : 

7x2-3=459

x = plus or minus the square root of 66

400

Factor the polynomial using the difference of two squares : 

50x2-32

2(5x+4)(5x-4)

400

Solve by using the Quadratic Formula 

2x2+2=-5

x = plus or minus i square root 14 divided by 2 

400

Solve the Quadratics by Completing the Square 


x2+12x-20=8

2 and -14

500

Simplify the Square Root of -468

6i square root 13

500

Solve the equation by taking the square root : 

6x2-9=255

x = plus or minus 2 square root 11

500

Factor the polynomial using the difference of two squares : 

36x3-100x

4x(3x+5)(3x-5)

500

Solve by using the Quadratic Formula 

2x2+9=-11x

x = -1, -9/2

500

Solve the Quadratics by Completing the Square 


x2-8x+80=7

4 plus or minus i square root 57

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