jmc

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?

Accepted Answer

If the number is x, we set up the equation x^2+85=(x-17)^2 and solve for x. align* x^2+85&=(x-17)^2 x^2+85&=x^2-34x+289 34x&=204 x&=6 align* The number is 6.