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

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

The answer to your question is:

-505 and 1

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

-505 × 1 = -505
-505 + 1 = -504

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

x² - 504x - 505 = 0

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

(x - 505 ) (x + 1)

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

x² - 504x - 505 = (x - 505 ) (x + 1)

Multiply To One Number and Add Up To Another
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