What two numbers multiply to 504 and add up to -505?

Here we answer the question: "What two numbers multiply to 504 and add up to -505?"

The answer to your question is:

-504 and -1

Below we illustrate and prove that -504 and -1 multiply to 504 and add up to -505:

-504 × -1 = 504
-504 + -1 = -505

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

x² - 505x + 504 = 0

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

(x - 504 ) (x - 1)

To summarize, since -504 and -1 multiply to 504 and add up -505, you know that the following is true:

x² - 505x + 504 = (x - 504 ) (x - 1)

Multiply To One Number and Add Up To Another
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