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:

-256 and 1

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

-256 × 1 = -256
-256 + 1 = -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 - 256 ) (x + 1)

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

x² - 255x - 256 = (x - 256 ) (x + 1)

Multiply To One Number and Add Up To Another
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