What two numbers multiply to -585 and add up to 584?

Here we answer the question: "What two numbers multiply to -585 and add up to 584?"

The answer to your question is:

-1 and 585

Below we illustrate and prove that -1 and 585 multiply to -585 and add up to 584:

-1 × 585 = -585
-1 + 585 = 584

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

x² + 584x - 585 = 0

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

(x - 1 ) (x + 585)

To summarize, since -1 and 585 multiply to -585 and add up 584, you know that the following is true:

x² + 584x - 585 = (x - 1 ) (x + 585)

Multiply To One Number and Add Up To Another
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