What two numbers multiply to -564 and add up to 280?

Here we answer the question: "What two numbers multiply to -564 and add up to 280?"

The answer to your question is:

-2 and 282

Below we illustrate and prove that -2 and 282 multiply to -564 and add up to 280:

-2 × 282 = -564
-2 + 282 = 280

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

x² + 280x - 564 = 0

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

(x - 2 ) (x + 282)

To summarize, since -2 and 282 multiply to -564 and add up 280, you know that the following is true:

x² + 280x - 564 = (x - 2 ) (x + 282)

Multiply To One Number and Add Up To Another
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