What two numbers multiply to 56 and add up to -15?

Here we answer the question: "What two numbers multiply to 56 and add up to -15?"

The answer to your question is:

-8 and -7

Below we illustrate and prove that -8 and -7 multiply to 56 and add up to -15:

-8 × -7 = 56
-8 + -7 = -15

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 15x + 56 = 0

If so, the solution to factor the quadratic equation above is:

(x - 8 ) (x - 7)

To summarize, since -8 and -7 multiply to 56 and add up -15, you know that the following is true:

x² - 15x + 56 = (x - 8 ) (x - 7)

Multiply To One Number and Add Up To Another
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