What two numbers multiply to -108 and add up to 23?

Here we answer the question: "What two numbers multiply to -108 and add up to 23?"

The answer to your question is:

-4 and 27

Below we illustrate and prove that -4 and 27 multiply to -108 and add up to 23:

-4 × 27 = -108
-4 + 27 = 23

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

x² + 23x - 108 = 0

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

(x - 4 ) (x + 27)

To summarize, since -4 and 27 multiply to -108 and add up 23, you know that the following is true:

x² + 23x - 108 = (x - 4 ) (x + 27)

Multiply To One Number and Add Up To Another
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