word problem: consecutive integers whose squares sum to 85

[mandora1]

Find two consecutive positive integers such that the sum of their squares is 85.

[Denis]

2^2 + 3^2 = 4 + 9 = 13

YOUR job is to find something similar that adds to 85;
so n^2 + (n+1)^2 = 85. Solve for n.

[TchrWill]

Find two consecutive positive integers such that the sum of their squares is 85.
x^2 + (x + 1)^2 = 85

I bet you can take it from here.