What numbers add to -23 and multiply to 210?

Answer 1

187

Answer 2

If the two numbers are x & y, then x*y = 210, and x + y = -23.

From the 2nd equation, let y = -23 - x, then substitute into first: x*(-23 - x) = 210, then expand:

-23*x - x² = 210, rearrange: x² + 23*x + 210 = 0, using the quadratic formula, we can see that the solution is complex : square root of [23² - 4*210] = sqrt(-311).

So there are no two real numbers which satisfy the conditions.