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:

-15 and 39


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

-15 × 39 = -585
-15 + 39 = 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 - 15 ) (x + 39)

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

x2 + 24x - 585 = (x - 15 ) (x + 39)


Multiply To One Number and Add Up To Another
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