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:

-72 and 7

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

-72 × 7 = -504
-72 + 7 = -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 - 72 ) (x + 7)

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

x² - 65x - 504 = (x - 72 ) (x + 7)

Multiply To One Number and Add Up To Another
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