Solving Quadratics

Solving by Graphing

100

X-intercept(s) of 

X²+4X=5

(-5,0)

(1,0)

200

X-intercept(s) of
X²=6X-9

(3,0)

300

X-intercept(s) of
X²+4X=-6

No solution

Solving by Factoring

100

X-intercept(s) of
X²+7X=18

(2,0)

(-9,0)

200

X-intercept(s) of 

4X=2X²

(0-0)

(2,0)

300

X-intercept(s) of
(X-3)(X+7)=0

(3,0)

(-7,0)

Solving by Square Roots

100

X-intercept(s) of

X²+3=12

X=±3

200

X-intercept(s)

44=3X²-4

X=±4

300

X-intercept(s)

X²=-81

No solution

Solving by Completing the Square

100

X-intercept(s) of
X²+16X+4=0

X=-8±2√15

200

X-intercept of

X²=14X=15

(15,0)

(-1,0)

300

X-intercept of

X²-7x-24=-3x

x=2±2√7

Solving by Quadratic Formula

100

X-intercept of

3x²-1=X

  _1±√13

————

     ⁶

200

X-intercept of

48x-X²+100=0

(-2,0)

(50,0)

300

X-intercept of

2x²=1-2x

_-1±√3

————

     ²