Question

Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is the number? Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is the number? @Mathematics

Answer 1

If I follow it correctly:
x^2 + 85 = (x-17)^2
85 = -34x + 289
x = 6