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

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

The answer to your question is:

-585 and -1

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

-585 × -1 = 585
-585 + -1 = -586

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

x² - 586x + 585 = 0

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

(x - 585 ) (x - 1)

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

x² - 586x + 585 = (x - 585 ) (x - 1)

Multiply To One Number and Add Up To Another
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