Solving Quadratic Equations Review

Distribution (Box Method)

100

(x+5)(x-7)

 x^2-2x-35 

200

(x-2)(x-5)

 x^2-7x+10 

300

(x+9)^2

 x^2+18x+81 

400

(2x-1)^2

 4x^2-4x+1 

500

(3x+5)(6x-1)

 18x^2+26x-5 

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 : 

7x²-3=459

x = plus or minus the square root of 66

500

Solve the equation by taking the square root : 

6x²-9=255

x = plus or minus 2 square root 11

Completing the Square

100

Find the value of c that completes the square:

m^2+16m+c

64

200

Find the value of c that completes the square:

x^2-10x+c

25

300

Find the value of c that completes the square:

x^2-30x+c

225

400

Find the value of c that completes the square:

x^2+42x+c

441

500

Find the value of c that completes the square:

x^2-34x+c

289

Quadratic Formula

100

Solve by using the Quadratic Formula 

3x²+9x-2=0

 x=(-9+-sqrt(105))/6 

200

Solve by using the Quadratic Formula 

2x²-9x-5=0

x = 5 , -1/2

300

Solve by using the Quadratic Formula 

6x²-7x+6=0

  x=(7+-sqrt(-95))/12

400

Solve by using the Quadratic Formula 

2x²+2=-5

 x=+-sqrt(-14)/2 

500

Solve by using the Quadratic Formula 

2x²+11x+ 9=0

x = -1, -9/2

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