What two numbers multiply to -48 and add up to 47?

Here we answer the question: "What two numbers multiply to -48 and add up to 47?"

The answer to your question is:

-1 and 48

Below we illustrate and prove that -1 and 48 multiply to -48 and add up to 47:

-1 × 48 = -48
-1 + 48 = 47

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

x² + 47x - 48 = 0

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

(x - 1 ) (x + 48)

To summarize, since -1 and 48 multiply to -48 and add up 47, you know that the following is true:

x² + 47x - 48 = (x - 1 ) (x + 48)

Multiply To One Number and Add Up To Another
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