Solving Quadratic Functions

Factoring

100

Factor and solve the following:

x²-8x+15=0

x= 5, x= 3

200

Factor and solve the following:

x²+10x+24=0

x= -4, x= -6

300

Factor and solve the following:

x²-3x-40=0

x= -5, x= 8

400

Factor and solve the following:

x²-36=0

x= 6, x= -6

500

Factor and solve the following:

2x²+18x+40=0

x= -4, x=-5

Square Root Method

100

Square root method and solve the following:

x²=49

x= 7, x= -7

200

Square root method and solve the following:

4x²+20=320

x= +-5sqrt3

300

Square root method and solve the following:

4x²-15=129

x= 6, x= -6

400

Square root method and solve the following:

(x-3)²+9=25

x=7, x=-1

500

Square root method and solve the following:

2(x-2)²+4=76

x= 8, x=-4

Quadratic Formula

100

Use the Quadratic Formula to solve the following:

x²-5x-25=0

x= (5+-5sqrt5)/2 

200

Use the Quadratic Formula to solve the following:

3x²-1x-10=0

x=2, x= -5/3 

300

Use the Quadratic Formula to solve the following:

x²+8x+116=0

x= -4+-10i 

400

Use the Quadratic Formula to solve the following:

x²-4x+12=0

x= 2+-2isqrt2 

500

Use the Quadratic Formula to solve the following:

9x²+6x+1=0

x=-(1)/(3)

Mixed

100

Solve the following quadratic.

x²+2x+1=0

x=1

200

Solve the following quadratic.

-x²+5x+6=0

x=6, x=-1

300

Solve the quadratic quadratic.

(x+5)²+7=35

x=-5pm2sqrt(7)

400

Solve the following quadratic.

-2(x-1)²-9=-81

x=7, x=-5

500

Solve the following quadratic.

x²-5x+20=0

x=(5pmisqrt(55))/(2)