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The numbers are x & y:
- x * y = 40
- x + y = -30
so y = -30 - x, and substitute in to the first: x*(-30 - x) = 40.
Now you have the quadratic:
x² +30x + 40 = 0. Numerically solving using the quadratic formula give:
x = -1.3985 or x = -28.6015 ; using one of these x solutions gives the other number for y. A check will verify that this is the solution to the original problem.
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