What two numbers multiply to -516 and add up to 31?

Here we answer the question: "What two numbers multiply to -516 and add up to 31?"

The answer to your question is:

-12 and 43

Below we illustrate and prove that -12 and 43 multiply to -516 and add up to 31:

-12 × 43 = -516
-12 + 43 = 31

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

x² + 31x - 516 = 0

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

(x - 12 ) (x + 43)

To summarize, since -12 and 43 multiply to -516 and add up 31, you know that the following is true:

x² + 31x - 516 = (x - 12 ) (x + 43)

Multiply To One Number and Add Up To Another
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