SOLUTION: The sum of the squares of two consecutive positive integers is 685. Find the integers.

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Question 123452: The sum of the squares of two consecutive positive integers is 685. Find the integers.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=first, so x+1=next __ x^2+(x+1)^2=685 __ 2x^2+2x=684

x^2+x-342=0 __ factoring __ (x+19)(x-18)=0