What two numbers multiply to 108 and add up to -24?

Here we answer the question: "What two numbers multiply to 108 and add up to -24?"

The answer to your question is:

-18 and -6

Below we illustrate and prove that -18 and -6 multiply to 108 and add up to -24:

-18 × -6 = 108
-18 + -6 = -24

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

x² - 24x + 108 = 0

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

(x - 18 ) (x - 6)

To summarize, since -18 and -6 multiply to 108 and add up -24, you know that the following is true:

x² - 24x + 108 = (x - 18 ) (x - 6)

Multiply To One Number and Add Up To Another
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