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:

-9 and 56

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

-9 × 56 = -504
-9 + 56 = 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 - 9 ) (x + 56)

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

x² + 47x - 504 = (x - 9 ) (x + 56)

Multiply To One Number and Add Up To Another
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