What two numbers multiply to 564 and add up to 59?

Here we answer the question: "What two numbers multiply to 564 and add up to 59?"

The answer to your question is:

12 and 47

Below we illustrate and prove that 12 and 47 multiply to 564 and add up to 59:

12 × 47 = 564
12 + 47 = 59

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

x² + 59x + 564 = 0

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

(x + 12 ) (x + 47)

To summarize, since 12 and 47 multiply to 564 and add up 59, you know that the following is true:

x² + 59x + 564 = (x + 12 ) (x + 47)

Multiply To One Number and Add Up To Another
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