What two numbers multiply to -564 and add up to 35?

Here we answer the question: "What two numbers multiply to -564 and add up to 35?"

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 35:

-12 × 47 = -564
-12 + 47 = 35

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

x² + 35x - 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 35, you know that the following is true:

x² + 35x - 564 = (x - 12 ) (x + 47)

Multiply To One Number and Add Up To Another
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