Solve by Factoring
Solving Quadratics By Taking Square Roots
Solving Quadratics by Completing the Square
Solve using any method
100

Solve the Quadratics by Factoring

x2+2x=3

x = -3,1

100

Solve the equation by taking the square root : 

x2=12

 x = +- 2sqrt3 

100

x2 − 12x + 11 = 0

{11, 1}

100

x2 − 4x + 4 = 0

(2)

200

Solve the Quadratics by Factoring 

x2+16=10x

x = 2, 8

200

Solve the equation by taking the square root : 

7x2=63

x = +-3 

200

x2 + 14x − 15 = 0

{1, −15}

200

x2 + 4x + 3 = 0

(-1, -3)

300

Solve the Quadratics by Factoring

x2-5x+6=0

x = 2 and 3

300

Solve the equation by taking the square root : 

x+ 9=5

x = +-2i

300

x2 + 4x = 5

{1 , -5}

300

4x2 + 8x + 7 = 4

(-1/2, -3/2)

400

Solve the Quadratics by Factoring

6n2 - n=2

n = -1/2 and 2/3

400

Solve the equation by taking the square root : 

(x-4)2-16=0

x = 0 and x=8

400

x= −4 + 8x

x = 7.46 or 0.54

400

4x2 − 2x −25 = −2x

(5/2, -5/2)

500

Solve the Quadratics by Factoring

2x2-8=31x-2x2

x = -1/4 and 8

500

Solve the equation by taking the square root : 

(x-3)2-18=0

x =  3 +- 3sqrt2 


500

Draw a picture of completing the square



500

2x2  + 14x + 20 = 0

(7+√73 / 4, 7-√73 / 4)