What two numbers multiply to -972 and add up to 99?

Here we answer the question: "What two numbers multiply to -972 and add up to 99?"

The answer to your question is:

-9 and 108

Below we illustrate and prove that -9 and 108 multiply to -972 and add up to 99:

-9 × 108 = -972
-9 + 108 = 99

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

x² + 99x - 972 = 0

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

(x - 9 ) (x + 108)

To summarize, since -9 and 108 multiply to -972 and add up 99, you know that the following is true:

x² + 99x - 972 = (x - 9 ) (x + 108)

Multiply To One Number and Add Up To Another
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