What two numbers multiply to -517 and add up to 36?

Here we answer the question: "What two numbers multiply to -517 and add up to 36?"

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 36:

-11 × 47 = -517
-11 + 47 = 36

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

x² + 36x - 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 36, you know that the following is true:

x² + 36x - 517 = (x - 11 ) (x + 47)

Multiply To One Number and Add Up To Another
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