What two numbers multiply to -585 and add up to -56?

Here we answer the question: "What two numbers multiply to -585 and add up to -56?"

The answer to your question is:

-65 and 9

Below we illustrate and prove that -65 and 9 multiply to -585 and add up to -56:

-65 × 9 = -585
-65 + 9 = -56

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

x² - 56x - 585 = 0

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

(x - 65 ) (x + 9)

To summarize, since -65 and 9 multiply to -585 and add up -56, you know that the following is true:

x² - 56x - 585 = (x - 65 ) (x + 9)

Multiply To One Number and Add Up To Another
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