What two numbers multiply to 279 and add up to -280?

Here we answer the question: "What two numbers multiply to 279 and add up to -280?"

The answer to your question is:

-279 and -1

Below we illustrate and prove that -279 and -1 multiply to 279 and add up to -280:

-279 × -1 = 279
-279 + -1 = -280

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

x² - 280x + 279 = 0

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

(x - 279 ) (x - 1)

To summarize, since -279 and -1 multiply to 279 and add up -280, you know that the following is true:

x² - 280x + 279 = (x - 279 ) (x - 1)

Multiply To One Number and Add Up To Another
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