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

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

The answer to your question is:

-47 and -1

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

-47 × -1 = 47
-47 + -1 = -48

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

x² - 48x + 47 = 0

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

(x - 47 ) (x - 1)

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

x² - 48x + 47 = (x - 47 ) (x - 1)

Multiply To One Number and Add Up To Another
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