What two numbers multiply to 583 and add up to -584?

Here we answer the question: "What two numbers multiply to 583 and add up to -584?"

The answer to your question is:

-583 and -1

Below we illustrate and prove that -583 and -1 multiply to 583 and add up to -584:

-583 × -1 = 583
-583 + -1 = -584

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

x² - 584x + 583 = 0

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

(x - 583 ) (x - 1)

To summarize, since -583 and -1 multiply to 583 and add up -584, you know that the following is true:

x² - 584x + 583 = (x - 583 ) (x - 1)

Multiply To One Number and Add Up To Another
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