What two numbers multiply to 108 and add up to -109?

Here we answer the question: "What two numbers multiply to 108 and add up to -109?"

The answer to your question is:

-108 and -1

Below we illustrate and prove that -108 and -1 multiply to 108 and add up to -109:

-108 × -1 = 108
-108 + -1 = -109

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

x² - 109x + 108 = 0

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

(x - 108 ) (x - 1)

To summarize, since -108 and -1 multiply to 108 and add up -109, you know that the following is true:

x² - 109x + 108 = (x - 108 ) (x - 1)

Multiply To One Number and Add Up To Another
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