What two numbers multiply to -585 and add up to -24?

Here we answer the question: "What two numbers multiply to -585 and add up to -24?"

The answer to your question is:

-39 and 15

Below we illustrate and prove that -39 and 15 multiply to -585 and add up to -24:

-39 × 15 = -585
-39 + 15 = -24

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

x² - 24x - 585 = 0

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

(x - 39 ) (x + 15)

To summarize, since -39 and 15 multiply to -585 and add up -24, you know that the following is true:

x² - 24x - 585 = (x - 39 ) (x + 15)

Multiply To One Number and Add Up To Another
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