What two numbers multiply to 255 and add up to -56?

Here we answer the question: "What two numbers multiply to 255 and add up to -56?"

The answer to your question is:

-51 and -5

Below we illustrate and prove that -51 and -5 multiply to 255 and add up to -56:

-51 × -5 = 255
-51 + -5 = -56

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

x² - 56x + 255 = 0

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

(x - 51 ) (x - 5)

To summarize, since -51 and -5 multiply to 255 and add up -56, you know that the following is true:

x² - 56x + 255 = (x - 51 ) (x - 5)

Multiply To One Number and Add Up To Another
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