Solving Quadratics

H.C.F

100

18x²-9x

9x

200

4x²+8x-12

4

300

10x²+20x-25

5

400

6x²+16x

2x

500

14x²-28

14

Factor this

100

x²+12x

x(x+12)

200

x²+6x-16

(x+8)(x-2)

300

x²-8x+7

(x-7)(x-1)

400

4x²-15=0

(2x-sqrt(15))(2x+sqrt(15))

500

3x²+15x+12=0

(3x+12)(x+1)

Solve by Factoring

100

x²-4x-5=0

x=5

x=-1

200

x²+15x=0

x=0

x=-15

300

5x²+10x-40=0

x=-4

x=2

400

x²+9x+18=0

x=-6

x=-3

500

2x²+9x-5=0

x=-5

x=1/2

Solve for x

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

Other

100

Is it a quadratic, linear or other

x²+6x=40

quadratic

200

Expand

(x+3)(2x-4)

2x²+2x-12

300

Expand

(3x+1)(2x-3)

6x²-7x-3

400

Solve for x

x²=-16

No real solutions

500

Factorise

x²-4xa+12x-48a

(x-4a)(x+12)