Solving Quadratics

A

100

Factor:

x²-13x+30

(x-3)(x-10)

200

Solve

2x²+19x+9

(2x+1)(x+9) are the FACTORS

x=-1/2, -9 is the final answer

300

Solve

2x²+5x-11=1

x=3/2,-4

400

Solve

2x²+15x+19=0

x=(-15+sqrt73)/4

(-15-sqrt73)/4

500

Solve

x²+4x+20=0

x=-2+4i

x=-2-4i

B

100

Solve

x²+4x-45

x=5,x=-9

200

Factor

3x²-20x-7

(3x+1)(x-7)

300

Solve

4x²-7x+2=x²

x=2,1/3

400

Solve 

3x²+17x+19=0

x=(-17+ sqrt 61)/6

x=(-17- sqrt 61)/6

500

Solve

x²+14x+53=0

x=-7+2i

x=-7-2i

C

100

Factor

x²-7x+12

(x-4)(x-3)

200

Factor

5x²+7x+2

(5x+2)(x+1)

300

Solve

9x²+30x+25=0

x=-5/3

400

Solve

-2x²-5x-5=-5x²

x=(5+ sqrt 85)/6

x=(5- sqrt 85)/6

500

Solve

9x²+54x+82=0

x=-3+(1/3)i

x=-3-(1/3)i

D

100

Factor

x²+5x-14

(x+7)(x-2)

200

Solve

5x²+14x+9

x=-9/5,-1

300

Solve

15+3x²=24

x=positive and negative square root of 3

400

Solve 

2x²+12x+11=0

x=-3+ sqrt 14/2

x=-3- sqrt 14/2

If you got (-12+- 2sqrt14)/4 you did not simplify

500

Solve

16x²-32x+17=0

x=1+(1/4)i

x=1-(1/4)i

E

100

Solve

x²-12x+32

x=4,x=8

200

Factor

2x²-x-3

(2x-3)(x+1)

300

Solve

2(x+6)²+16=34

x=-3,-9

400

Solve

x²+10x+10=-8

x=-5+sqrt7

x=-5-sqrt7

500

Solve 

x²-4x+68=0

x=2+8i

x=2-8i