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:

-47 and 12

Below we illustrate and prove that -47 and 12 multiply to -564 and add up to -35:

-47 × 12 = -564
-47 + 12 = -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 - 47 ) (x + 12)

To summarize, since -47 and 12 multiply to -564 and add up -35, you know that the following is true:

x² - 35x - 564 = (x - 47 ) (x + 12)

Multiply To One Number and Add Up To Another
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