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:

-257 and 1

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

-257 × 1 = -257
-257 + 1 = -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 - 257 ) (x + 1)

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

x² - 256x - 257 = (x - 257 ) (x + 1)

Multiply To One Number and Add Up To Another
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