SOLUTION: I cannot get anywhere with this problem, please help. Find two consecutive positive integers such that the sum of their squares is 85.

Question 107282: I cannot get anywhere with this problem, please help.
Find two consecutive positive integers such that the sum of their squares is 85.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

If consecutive integers starting at n, then their sum could be written as

since you have two consecutive integers, you weill use

to find two consecutive positive integers such that of is , you will have:

.........divide both sides by

or
....writen in the standard form .....so you can apply quadratic formula to find , and use only

....you will need just this one because will be positive number

........this is first number
next consecutive number will be
now check if the sum of their squares is

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