What two numbers multiply to -56 and add up to -10?

Here we answer the question: "What two numbers multiply to -56 and add up to -10?"

The answer to your question is:

-14 and 4

Below we illustrate and prove that -14 and 4 multiply to -56 and add up to -10:

-14 × 4 = -56
-14 + 4 = -10

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

x² - 10x - 56 = 0

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

(x - 14 ) (x + 4)

To summarize, since -14 and 4 multiply to -56 and add up -10, you know that the following is true:

x² - 10x - 56 = (x - 14 ) (x + 4)

Multiply To One Number and Add Up To Another
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