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:

-1 and 109

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

-1 × 109 = -109
-1 + 109 = 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 - 1 ) (x + 109)

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

x² + 108x - 109 = (x - 1 ) (x + 109)

Multiply To One Number and Add Up To Another
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