What two numbers multiply to -256 and add up to 255?

Here we answer the question: "What two numbers multiply to -256 and add up to 255?"

The answer to your question is:

-1 and 256

Below we illustrate and prove that -1 and 256 multiply to -256 and add up to 255:

-1 × 256 = -256
-1 + 256 = 255

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

x² + 255x - 256 = 0

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

(x - 1 ) (x + 256)

To summarize, since -1 and 256 multiply to -256 and add up 255, you know that the following is true:

x² + 255x - 256 = (x - 1 ) (x + 256)

Multiply To One Number and Add Up To Another
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