Solving Quadratic Equations

Quadratic Formula

100

2x²+8x-42=0

x=-7,3

200

2x²-3x-27=0

x=4.5,-3

300

5x²+12x+2=0

x=-0.18,-2.22

400

10x²-7x=14

x=1.584,-0.884

500

7x²+7x=-10

No Solution

Factoring

100

x²+4x-5=0

x=1,-5

200

x²-7x-14=0

x=8,-1

300

x²+8x+7=-8

x=-3,-5

400

4x²+7x-2=0

x=-2,1/4

500

3x²-16x-35=0

x=7,-5/3

Completing the Square

100

x²-8x-48=0

x=12,-4

200

x²+2x-78=2

x=8,-10

300

x²-4x-2=-3

x=3.732,0.268

400

x²-2x-86=5

x=10.592,-8.592

500

x²-6x-77=-5

x=12,-6

Square Root Property

100

5x²-5=45

x=3.162,-3.162

200

9x²+3=228

x=5,-5

300

-5+9x²=20

x=1.667,-1.667

400

2(x-10)²+4=12

x=12,8

500

3(x+2)²+5=32

x=1,-5

Graphing

100

y=(x-3)²-4=0

x=1,5

200

y=-(x+2)²+3

x=-0.25,-3.25

300

y=x²+4x+3

x=-3,-1

400

y=-x²-8x-13

x=-5.7,-2.3

500

y=2x²-8x+5

x=0.775,3.225