Solving Quadratics Review

Solve using Square Roots

100

1.) 2x²=32

x= 4, x=-4

200

2.) x²+30=14

x=4i, x=-4i

300

3. (x+4)²=49

x=-11, x=3

400

4. 64x²-6=75

x=9/8, x=-9/8

Solve using Quadratic Formula

100

9.) x²+10x=-24

x=-4, x=-6

200

x²-8x=0

x=8, x=0

300

3x²-9x+5=0

x=9+sqrt(21)/6, x=9-Sqrt(21)/6

400

10.) 5x²+3x=1

x= -3+sqrt(29)/10, x=-3-sqrt(29)/10

Discriminant

100

Find the number of real solutions

6x²-x=3

Two real solutions

200

Find the number of real solutions

4x²+4x+1=0

One real solution

300

Find the number of real solutions

11.) x²+11x-10=0

2 real solutions

400

Find the number of real solutions

12.) 6x²+x=-12

No real solutions

Solve using any method

100

x²-7x=60

w=12, w=-5

200

13.) 2x²-8=0

x=2, x=-2

300

14.) x²-4x=32

x=8, x=-4

400

15.) (x+2)²=7

x=sqrt(7)-2, x=-sqrt(7)-2

Solve by Factoring

100

5.) x²-3x+2=0

x=1, x=2

200

6.) 7x²=63

x=3, x=-3

300

7.) 2x²+5x=3

x=-3, x=1/2

400

8.) 2x²+50=20x

x=5