What two numbers multiply to -586 and add up to 585?

Here we answer the question: "What two numbers multiply to -586 and add up to 585?"

The answer to your question is:

-1 and 586

Below we illustrate and prove that -1 and 586 multiply to -586 and add up to 585:

-1 × 586 = -586
-1 + 586 = 585

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

x² + 585x - 586 = 0

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

(x - 1 ) (x + 586)

To summarize, since -1 and 586 multiply to -586 and add up 585, you know that the following is true:

x² + 585x - 586 = (x - 1 ) (x + 586)

Multiply To One Number and Add Up To Another
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