Quadratics Review

Quadratic Formula

100

2x²+8x+8

x=-2

200

5x²-7x+3

No real solution

300

6x²-x-7

x=7/6 and x=-1  or x=1.17 and x=-1

400

9x²-5x-5 (Round to nearest hundredth)

x=1.07 and x=-0.52

500

2x²-9x+2

x=4.27  and x=0.23

Quadratic Equations

100

x²=16

x=4  or x=-4

200

x²=361

x=19 or x=-19

300

x²-5=20

x=5 or x=-5

400

(x+3)²=36

x=3 or x=-9

500

4x²=256

x=8 or x=-8

Discriminant

100

8x²-9x+1

49 two solutions

200

8x²+5x+6

-167 no real solution

300

3x²-2x+4

-44 no real solutions

400

x²+6x+9

0 one real solution

500

2x²+3x-1

17 two real solutions

Vocabulary

100

discriminant formula 

b²-4ac

200

What does the discriminant do?

tells us how many solutions 

300

What is the opposite of x²

square root

400

What is a quadratic equation? 

no term has a variable with a higher power/exponent of 2

500

Quadratic formula

x=(-b+-(sqrt(b²-4ac))/2a