Solving Quadratic Equations

Factoring

100

x² +7x+12=0

x=-3, -4

200

x²-9x+20=0

x=5,4

300

2x²+7x+3=0

x=-1/2, -3

Square roots

100

x²=49

x=7, -7

200

(x-4)²=36

x=10,-2

300

3x²=75

x=5, -5

Quadratic formula

100

x²+6x+5=0

x=-1,-5

200

x²-4x-12=0

x=6,-2

300

2x²+5x-3=0

x=1/2, -3

Word problems

100

The product of two consecutive integers is 56. Find the integers.

7 and 8

200

A rectangle has an area of 48 square feet. Its length is 2 feet longer than its width. Find the dimensions.

Width = 6 feet. Length = 8 feet

300

A ball is thrown upward from a height of 5 feet with an initial velocity of 32 feet per second. Its height is modeled by: h=-16t²+32t+5. When does the ball hit the ground?

The ball hits the ground after about 2.15 seconds.

Mixed review

100

x²-16=0

x=4, -4

200

x²+10x+25=0

x=-5

300

4x²-25=0

x=5/2, -5/2