What two numbers multiply to 564 and add up to -284?

Here we answer the question: "What two numbers multiply to 564 and add up to -284?"

The answer to your question is:

-282 and -2

Below we illustrate and prove that -282 and -2 multiply to 564 and add up to -284:

-282 × -2 = 564
-282 + -2 = -284

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

x² - 284x + 564 = 0

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

(x - 282 ) (x - 2)

To summarize, since -282 and -2 multiply to 564 and add up -284, you know that the following is true:

x² - 284x + 564 = (x - 282 ) (x - 2)

Multiply To One Number and Add Up To Another
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