SOLUTION: Find two consecutive positive intergers such that the sum of their square is 85. Thank you for the help

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Find two consecutive positive intergers such that the sum of their square is 85. Thank you for the help      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 65771: Find two consecutive positive intergers such that the sum of their square is 85.
Thank you for the help
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X^2+(X+1)^2=85
X^2+X^2+2X+1=85
2X^2+2X+1-85=0
2X^2+2X-84=0
X^2+X-42=0
(X+7)(X-6)=0
X=7=0
X=-7
X-6=0
X=6 SOLUTION FOR THE FIRST INTERGER
6=1=7 FOR THE SECOND INTERGER
PROOF
6^6+7*7=84
36+49=85
85=85
################################################
happy new year