What two numbers multiply to -496 and add up to 15?

Here we answer the question: "What two numbers multiply to -496 and add up to 15?"

The answer to your question is:

-16 and 31

Below we illustrate and prove that -16 and 31 multiply to -496 and add up to 15:

-16 × 31 = -496
-16 + 31 = 15

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

x² + 15x - 496 = 0

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

(x - 16 ) (x + 31)

To summarize, since -16 and 31 multiply to -496 and add up 15, you know that the following is true:

x² + 15x - 496 = (x - 16 ) (x + 31)

Multiply To One Number and Add Up To Another
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