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

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

The answer to your question is:

-584 and -1

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

-584 × -1 = 584
-584 + -1 = -585

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

x² - 585x + 584 = 0

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

(x - 584 ) (x - 1)

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

x² - 585x + 584 = (x - 584 ) (x - 1)

Multiply To One Number and Add Up To Another
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