What two numbers multiply to -257 and add up to 256?

Here we answer the question: "What two numbers multiply to -257 and add up to 256?"

The answer to your question is:

-1 and 257

Below we illustrate and prove that -1 and 257 multiply to -257 and add up to 256:

-1 × 257 = -257
-1 + 257 = 256

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

x² + 256x - 257 = 0

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

(x - 1 ) (x + 257)

To summarize, since -1 and 257 multiply to -257 and add up 256, you know that the following is true:

x² + 256x - 257 = (x - 1 ) (x + 257)

Multiply To One Number and Add Up To Another
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