What two numbers when added together equals -11 when multiplied equals -8160?

Answer 1

Let the two numbers be x & y. Two Equations: x + y = -11 And x*y = -8160.

rearrange first eq: [y = -11 -x] and substitute into second eq: (-11 - x)*x = -8160

-x^2 - 11*x = -8160 --> x^2 + 11*x - 8160 = 0. This is a quadratic. Solve for x = -96 and 85. Either of these two numbers substituted into the first equation will produce the other number for y, so the 2 numbers are -96 and 85.