What two numbers multiply to 108 and add up to -31?

Here we answer the question: "What two numbers multiply to 108 and add up to -31?"

The answer to your question is:

-27 and -4

Below we illustrate and prove that -27 and -4 multiply to 108 and add up to -31:

-27 × -4 = 108
-27 + -4 = -31

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

x² - 31x + 108 = 0

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

(x - 27 ) (x - 4)

To summarize, since -27 and -4 multiply to 108 and add up -31, you know that the following is true:

x² - 31x + 108 = (x - 27 ) (x - 4)

Multiply To One Number and Add Up To Another
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