What two numbers multiply to -504 and add up to 503?

Here we answer the question: "What two numbers multiply to -504 and add up to 503?"

The answer to your question is:

-1 and 504

Below we illustrate and prove that -1 and 504 multiply to -504 and add up to 503:

-1 × 504 = -504
-1 + 504 = 503

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

x² + 503x - 504 = 0

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

(x - 1 ) (x + 504)

To summarize, since -1 and 504 multiply to -504 and add up 503, you know that the following is true:

x² + 503x - 504 = (x - 1 ) (x + 504)

Multiply To One Number and Add Up To Another
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