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

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

The answer to your question is:

-109 and 1

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

-109 × 1 = -109
-109 + 1 = -108

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

x² - 108x - 109 = 0

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

(x - 109 ) (x + 1)

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

x² - 108x - 109 = (x - 109 ) (x + 1)

Multiply To One Number and Add Up To Another
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