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
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