What two numbers multiply to -972 and add up to 36?

Here we answer the question: "What two numbers multiply to -972 and add up to 36?"

The answer to your question is:

-18 and 54

Below we illustrate and prove that -18 and 54 multiply to -972 and add up to 36:

-18 × 54 = -972
-18 + 54 = 36

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

x² + 36x - 972 = 0

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

(x - 18 ) (x + 54)

To summarize, since -18 and 54 multiply to -972 and add up 36, you know that the following is true:

x² + 36x - 972 = (x - 18 ) (x + 54)

Multiply To One Number and Add Up To Another
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