What two numbers multiply to -514 and add up to 255?

Here we answer the question: "What two numbers multiply to -514 and add up to 255?"

The answer to your question is:

-2 and 257

Below we illustrate and prove that -2 and 257 multiply to -514 and add up to 255:

-2 × 257 = -514
-2 + 257 = 255

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

x² + 255x - 514 = 0

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

(x - 2 ) (x + 257)

To summarize, since -2 and 257 multiply to -514 and add up 255, you know that the following is true:

x² + 255x - 514 = (x - 2 ) (x + 257)

Multiply To One Number and Add Up To Another
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