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:

-1 and 505

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

-1 × 505 = -505
-1 + 505 = 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 - 1 ) (x + 505)

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

x² + 504x - 505 = (x - 1 ) (x + 505)

Multiply To One Number and Add Up To Another
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