Question 68069
let x^2 be the first number & (x+1)^2 the next number
x^2+(x+1)^2=85
x^2+x^2+2x+1=85
2x^2+2x+1-85
2x^2+2x-84=0
x^2+x^2-42=0
(x+7)(x-6)=0
x-6=0
x=6 answer for the first number
6+1=7 for the next number.
proof
6^2+7^2=84
36+49=84
84=84