What two numbers multiply to -585 and add up to -112?

Here we answer the question: "What two numbers multiply to -585 and add up to -112?"

The answer to your question is:

-117 and 5

Below we illustrate and prove that -117 and 5 multiply to -585 and add up to -112:

-117 × 5 = -585
-117 + 5 = -112

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

x² - 112x - 585 = 0

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

(x - 117 ) (x + 5)

To summarize, since -117 and 5 multiply to -585 and add up -112, you know that the following is true:

x² - 112x - 585 = (x - 117 ) (x + 5)

Multiply To One Number and Add Up To Another
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