Solving Quadratic Equations

Incomplete Squares

100

Factor the Perfect Square

x ²+ 8x + 16

(x+4)²

200

Find the value of c  that completes the perfect square

x²+10x+c

c=25

300

Solve by Completing the Square

b² + 6b - 7 = 0

b=1,-7

400

Solve by Completing the Square

x² -14x + 11 = 0

x = 7+ sqrt 38, 7 - sqrt 38

500

Solve by Completing the Square

3x² = 12x + 96

x = 8, -4

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 : 

6x²-9=255

x = plus or minus 2 square root 11

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

6x²+x+1=0

-1 +- sqrt 23/12

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+-isqrt(95))/12

400

Solve by using the Quadratic Formula 

2x²+2=-5

 x=+-isqrt(14)/2 

500

Solve by using the Quadratic Formula 

2x²+11x+ 9=0

x = -1, -9/2

Solve by Factoring

100

Solve the Quadratics by Factoring

x²+2x=3

-3,1

200

Solve the Quadratics by Factoring 

x²+16=10x

2, 8

300

Solve the Quadratics by Factoring

6n²-n=2

-1/2 and 2/3

400

Solve the Quadratics by Factoring

x²-5x+6=0

2 and 3

500

Solve the Quadratics by Factoring

2x²-8=31x-2x²

-1/4 and 8