What two numbers multiply to 72 and add up to -18?

Here we answer the question: "What two numbers multiply to 72 and add up to -18?"

The answer to your question is:

-12 and -6

Below we illustrate and prove that -12 and -6 multiply to 72 and add up to -18:

-12 × -6 = 72
-12 + -6 = -18

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

x² - 18x + 72 = 0

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

(x - 12 ) (x - 6)

To summarize, since -12 and -6 multiply to 72 and add up -18, you know that the following is true:

x² - 18x + 72 = (x - 12 ) (x - 6)

Multiply To One Number and Add Up To Another
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