Final answer:
The two numbers that multiply to 15 but add up to -13 are -8 and -5.
Step-by-step explanation:
To find two numbers that multiply to 15 but add up to -13, we can set up a system of equations. Let the two numbers be x and y. We have the equations:
x * y = 15
x + y = -13
We can isolate one variable in the second equation, for example, solving for x:
x = -13 - y
Substituting this expression for x in the first equation, we get:
(-13 - y) * y = 15
Simplifying and rearranging, we have a quadratic equation:
y^2 + 13y + 15 = 0
Factoring or using the quadratic formula, we find that y = -5 or y = -3. Substituting these values back into the equation x + y = -13, we find that x = -8 or x = -5.
Therefore, the two numbers that multiply to 15 but add up to -13 are -8 and -5.
Learn more about Multiplication and Addition