What two numbers multiply to 496 and add up to -47?

Here we answer the question: "What two numbers multiply to 496 and add up to -47?"

The answer to your question is:

-31 and -16

Below we illustrate and prove that -31 and -16 multiply to 496 and add up to -47:

-31 × -16 = 496
-31 + -16 = -47

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

x² - 47x + 496 = 0

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

(x - 31 ) (x - 16)

To summarize, since -31 and -16 multiply to 496 and add up -47, you know that the following is true:

x² - 47x + 496 = (x - 31 ) (x - 16)

Multiply To One Number and Add Up To Another
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