For how many integers from 1 to 100, inclusive, is x^3 - x^2 a perfect square?
Here's my attempt
x^3 - x^2 =
x^2 * (x - 1)
We will have a perfect square whenever (x - 1) is a perfect square......so.....
x = 1, 2, 5, 10, 17, 26, 37, 50, 65, 82
