SOLUTION: The difference of the square of two consecutive positive consecutive odd integers is 32. Find the integers

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The difference of the square of two consecutive positive consecutive odd integers is 32. Find the integers       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 98926: The difference of the square of two consecutive positive consecutive odd integers is 32. Find the integers
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
let the consecutive odd integers be: x, x+2
(x+2)^2-x^2=32
x^2+4x+4-x^2=32
cancel the x^2's out: 4x+4=32
subtract 4 from each side: 4x=28
divide 4 into each side: x=7
x+2=9
Check:
9^2-7^2=32
81-49=32
Ed