What two numbers multiply to -504 and add up to -47?

Here we answer the question: "What two numbers multiply to -504 and add up to -47?"

The answer to your question is:

-56 and 9

Below we illustrate and prove that -56 and 9 multiply to -504 and add up to -47:

-56 × 9 = -504
-56 + 9 = -47

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

x² - 47x - 504 = 0

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

(x - 56 ) (x + 9)

To summarize, since -56 and 9 multiply to -504 and add up -47, you know that the following is true:

x² - 47x - 504 = (x - 56 ) (x + 9)

Multiply To One Number and Add Up To Another
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