What two numbers multiply to 517 and add up to 58?

Here we answer the question: "What two numbers multiply to 517 and add up to 58?"

The answer to your question is:

11 and 47

Below we illustrate and prove that 11 and 47 multiply to 517 and add up to 58:

11 × 47 = 517
11 + 47 = 58

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

x² + 58x + 517 = 0

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

(x + 11 ) (x + 47)

To summarize, since 11 and 47 multiply to 517 and add up 58, you know that the following is true:

x² + 58x + 517 = (x + 11 ) (x + 47)

Multiply To One Number and Add Up To Another
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