One number is equal to the square of another. Find the numbers if both are positive and their sum is

One number is equal to the square of another. Find the numbers if both are positive and their sum is 650

Let the number be n. Then the square is n^2. We're given:
n^2 + n = 650

Subtract 650 from each side:
n^2 + n - 650 = 0

We have a quadratic equation. We type this into our search engine and we get:
n = 25 and n = -26

Since the equation asks for a positive solution, we use n = 25 as our first solution.

the second solution is 25^2 = 625