What two numbers multiply to 972 and add up to -117?

Here we answer the question: "What two numbers multiply to 972 and add up to -117?"

The answer to your question is:

-108 and -9

Below we illustrate and prove that -108 and -9 multiply to 972 and add up to -117:

-108 × -9 = 972
-108 + -9 = -117

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

x² - 117x + 972 = 0

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

(x - 108 ) (x - 9)

To summarize, since -108 and -9 multiply to 972 and add up -117, you know that the following is true:

x² - 117x + 972 = (x - 108 ) (x - 9)

Multiply To One Number and Add Up To Another
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