Solving Quadratics

Solve by graphing

100

X²= -6x -8

(-4,0)

(-2,0)

200

X²=4x-4

(2,0)

300

-X² = 8x +12

(-6,0) (-2,0)

Quadratic Formula

100

5x²-2=x

X=(1+√41)/10

X=(1-√41)/10

200

4x²=2-4x

X=(1+1√3)/-2

X=(1-1√3)/-2

300

X²+24=0

No solution 

Solve by Factoring

100

-2x²+6x=0

X=0

X=3

200

X²+9x=-18

X=-3

X=-6

300

2x²+4x-6=0

x=1

x=-3

Solve by Square Roots

100

√x² = √-248

No Solution

200

-4x² + 30 = 2x² - 24

X = 3

X = -3

300

12=(x-6)²-8

X=2√5+6

X=2√5-6

Solve by Completing the Square

100

X²-6x=30

No Solution 

200

X²+18x-47=0

X=-9+8√2

X=-9-8√2

300

X²=8x+9

X=9

X=-1