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=16
x = +- 4
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 :
x2 + 9=5
No Solution
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
x2 = −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
or
x = 7.24 or -1.24
500
Draw a picture of completing the square
500
2x2 + 14x + 20 = 0
x = -2 or -5