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To find two numbers that multiply to -6 and add up to -1, we can set up a system of equations. Let the two numbers be x and y. We have the equations xy = -6 and x + y = -1. By solving these equations simultaneously, we find that the two numbers are -3 and 2, as -3 * 2 = -6 and -3 + 2 = -1.
Let one number be x, the other number is (-1 - x)
Now x(-1 - x) = -6 or -x - x^2 = -6 or x^2 + x - 6 = 0 or x^2 + 3x -2x -6 = 0
Factoring we get x(x + 3) -2(x + 3) = 0 or (x -2) x (x +3) = 0 which means that either x = 2 or x = -3 and now if we take x = 2, the other number would be -3, but if we take x = -3, the other number would be 2. In either case the conditions are met. So the numbers are -3 and 2 or 2 and -3
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