What two numbers multiply to 585 and add up to 54?

Here we answer the question: "What two numbers multiply to 585 and add up to 54?"

The answer to your question is:

15 and 39

Below we illustrate and prove that 15 and 39 multiply to 585 and add up to 54:

15 × 39 = 585
15 + 39 = 54

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

x² + 54x + 585 = 0

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

(x + 15 ) (x + 39)

To summarize, since 15 and 39 multiply to 585 and add up 54, you know that the following is true:

x² + 54x + 585 = (x + 15 ) (x + 39)

Multiply To One Number and Add Up To Another
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