SOLUTION: Find two consecutive positive integers such that the sum of their squares is 85. Thank you!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find two consecutive positive integers such that the sum of their squares is 85. Thank you!      Log On


   

Question 89166This question is from textbook
: Find two consecutive positive integers such that the sum of their squares is 85.
Thank you! This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
First Integer = i
Second Integer = i + 1
(i)^2 + (i + 1)^2 = 85
i^2 + i^2 + 2i + 1 = 85
2i^2 + 2i - 84 = 0
i^2 + i - 42 = 0
(i - 6)(i + 7) = 0
i = 6 and i = -7
Positive: 6 and 7