The sum of a number and its square is 72. find the numbers?

The sum of a number and its square is 72. find the numbers?

Let the number be n. We have:
n^2 + n = 72

Subtract 72 from each side:
n^2 + n - 72 = 0

Using our quadratic calculator, we have:
n = 8 or n = -9

Since the numbers do not state positive or negative, these are the two solutions.