Solving Quadratic Equations by Factoring!

Word Problems

100

The sum of a number and it's square is 132. Find the number. 

11 and -12

200

The product of two consecutive odd integers is 255. What are the integers?

15 and 17

300

The sum of the squares of two consecutive integers is 313. What are the integers?

12, 13

400

The product of two consecutive even integers is 224. What are the integers?

14 and 16

500

The sum of the squares of two consecutive positive odd integers is 202. Find the numbers.

9 and 11

FOIL

100

(X-5)(X+2)

x²-3x-10

200

(X+1)(X-1)

x²-1

300

(2X-3)²

4x²-12X+9

400

(2x-5)(3x-1)

6x²-17x+5

500

(3x-5)²

9x²-30x+25

Factor

100

5x²+30x

5x(x+6)

200

3x²+21x

3x(x+7)

300

x²-5x-6

(x-6)(x+1)

400

x²-9x+14

(x-7)(x-2)

500

2x²+11x+12

(2x+3)(x+4)

Solve the Equation

100

x²=49

x=7, -7

200

5x(2x-8)=0

x=0, 4

300

(x-12)(x+2)=0

x=12, -2

400

x²-3x-28=0

x=7, -4

500

4x²+5x-6=0

x=3/4, -2

Equations Cont.

100

x²-36=0

x=6, -6

200

4x²-12x=0

x=0, 3

300

(3x-6)(4x+16)=0

x= 2, -4

400

x²+13x+40=0

x=-8, -5

500

2x²+5x-3=0

x=-3, 1/2