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:

-54 and 18

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

-54 × 18 = -972
-54 + 18 = -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 - 54 ) (x + 18)

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

x² - 36x - 972 = (x - 54 ) (x + 18)

Multiply To One Number and Add Up To Another
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