What two numbers multiply to -504 and add up to 65?

Here we answer the question: "What two numbers multiply to -504 and add up to 65?"

The answer to your question is:

-7 and 72

Below we illustrate and prove that -7 and 72 multiply to -504 and add up to 65:

-7 × 72 = -504
-7 + 72 = 65

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

x² + 65x - 504 = 0

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

(x - 7 ) (x + 72)

To summarize, since -7 and 72 multiply to -504 and add up 65, you know that the following is true:

x² + 65x - 504 = (x - 7 ) (x + 72)

Multiply To One Number and Add Up To Another
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