Final answer:
To find two numbers that multiply to 15 but add up to -12, we can solve a system of equations and factor a quadratic equation.
Step-by-step explanation:
To find two numbers that multiply to 15 but add up to -12, we can set up a system of equations. Let the two numbers be x and y. We have the equations xy = 15 and x + y = -12. Solving the second equation for y, we get y = -12 - x. Substituting this into the first equation, we have x(-12 - x) = 15. Simplifying the equation, we get x^2 + 12x + 15 = 0. This is a quadratic equation, which can be factored as (x + 3)(x + 5) = 0. Therefore, the two numbers that multiply to 15 but add up to -12 are -3 and -5.
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