What two numbers multiply to -638 and add up to 47?

Here we answer the question: "What two numbers multiply to -638 and add up to 47?"

The answer to your question is:

-11 and 58

Below we illustrate and prove that -11 and 58 multiply to -638 and add up to 47:

-11 × 58 = -638
-11 + 58 = 47

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

x² + 47x - 638 = 0

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

(x - 11 ) (x + 58)

To summarize, since -11 and 58 multiply to -638 and add up 47, you know that the following is true:

x² + 47x - 638 = (x - 11 ) (x + 58)

Multiply To One Number and Add Up To Another
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