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

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

The answer to your question is:

-107 and -1

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

-107 × -1 = 107
-107 + -1 = -108

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

x² - 108x + 107 = 0

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

(x - 107 ) (x - 1)

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

x² - 108x + 107 = (x - 107 ) (x - 1)

Multiply To One Number and Add Up To Another
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