What two numbers multiply to 580 and add up to 49?

Here we answer the question: "What two numbers multiply to 580 and add up to 49?"

The answer to your question is:

20 and 29

Below we illustrate and prove that 20 and 29 multiply to 580 and add up to 49:

20 × 29 = 580
20 + 29 = 49

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

x² + 49x + 580 = 0

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

(x + 20 ) (x + 29)

To summarize, since 20 and 29 multiply to 580 and add up 49, you know that the following is true:

x² + 49x + 580 = (x + 20 ) (x + 29)

Multiply To One Number and Add Up To Another
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