What two numbers have a sum of 6 and a product of -27

Answer 1

Solve the system of equations:

n + m = 6

nm = -27

n(6 - n) = -27

-n² + 6n = -27

n² - 6n = 27

n² - 6n - 27 = 0

(n + 3)(n - 9) = 0

n = -3 or 9

If n = -3, then m = 6 - n = 9

If n = 9, then m = 6 - n = -3

Either way, you get one number is -3, the other is 9.

Test the solution.