What two numbers multiply to 108 and add up to -39?

Here we answer the question: "What two numbers multiply to 108 and add up to -39?"

The answer to your question is:

-36 and -3

Below we illustrate and prove that -36 and -3 multiply to 108 and add up to -39:

-36 × -3 = 108
-36 + -3 = -39

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

x² - 39x + 108 = 0

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

(x - 36 ) (x - 3)

To summarize, since -36 and -3 multiply to 108 and add up -39, you know that the following is true:

x² - 39x + 108 = (x - 36 ) (x - 3)

Multiply To One Number and Add Up To Another
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