What two numbers multiply to -972 and add up to 9?

Here we answer the question: "What two numbers multiply to -972 and add up to 9?"

The answer to your question is:

-27 and 36

Below we illustrate and prove that -27 and 36 multiply to -972 and add up to 9:

-27 × 36 = -972
-27 + 36 = 9

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

x² + 9x - 972 = 0

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

(x - 27 ) (x + 36)

To summarize, since -27 and 36 multiply to -972 and add up 9, you know that the following is true:

x² + 9x - 972 = (x - 27 ) (x + 36)

Multiply To One Number and Add Up To Another
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