Solving Quadratics

G.C.F

100

18x²-9x

9x

200

4x²+8x-12

4

300

10x²+20x-25

5

400

6x²+16x

2x

500

14x²-28

14

Which Method?

100

x²=-12x

Factoring

200

x²+6x=19

completing the square

300

x²-10x+7=0

Completing the square (can't factor or square root)

400

2x²-15=0

square root (no bx term)

500

3x²+15x+12=0

Factoring

Solve by Factoring

100

3x²-12x-15=0

x=5

x=-1

200

x²+15x=0

x=0

x=-15

300

5x²+10x-40

x=-4

x=2

400

x²+9+18

x=-6

x=-3

500

2x²+9x-5

x=-5

x=1/2

Solve by Square Root

100

2x²-18=0

x=3

x=-3

200

25x²=81

x=9/5

x=-9/5

300

2x²+50=0

No real solutions

400

-3x²=-48

x=4

x=-4

500

18x²=50

x=5/3

x=-5/3

Completing the square

100

x²+6x=40

x=4

x=-10

200

x²+12x=13

x=1

x=-13

300

x²-14x=51

x=17

x=3

400

x²-2x=-24

No real solutions

500

x²-4x=21

x=7

x=-3