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:

1 and 584

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

1 × 584 = 584
1 + 584 = 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 + 1 ) (x + 584)

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

x² + 585x + 584 = (x + 1 ) (x + 584)

Multiply To One Number and Add Up To Another
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