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

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

The answer to your question is:

-255 and -1

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

-255 × -1 = 255
-255 + -1 = -256

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

x² - 256x + 255 = 0

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

(x - 255 ) (x - 1)

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

x² - 256x + 255 = (x - 255 ) (x - 1)

Multiply To One Number and Add Up To Another
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