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:

2 and 282

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

2 × 282 = 564
2 + 282 = 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 + 2 ) (x + 282)

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

x² + 284x + 564 = (x + 2 ) (x + 282)

Multiply To One Number and Add Up To Another
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