What two numbers multiply to -108 and add up to 107?

Here we answer the question: "What two numbers multiply to -108 and add up to 107?"

The answer to your question is:

-1 and 108

Below we illustrate and prove that -1 and 108 multiply to -108 and add up to 107:

-1 × 108 = -108
-1 + 108 = 107

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

x² + 107x - 108 = 0

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

(x - 1 ) (x + 108)

To summarize, since -1 and 108 multiply to -108 and add up 107, you know that the following is true:

x² + 107x - 108 = (x - 1 ) (x + 108)

Multiply To One Number and Add Up To Another
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