What two numbers multiply to -47 and add up to 46?

Here we answer the question: "What two numbers multiply to -47 and add up to 46?"

The answer to your question is:

-1 and 47

Below we illustrate and prove that -1 and 47 multiply to -47 and add up to 46:

-1 × 47 = -47
-1 + 47 = 46

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

x² + 46x - 47 = 0

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

(x - 1 ) (x + 47)

To summarize, since -1 and 47 multiply to -47 and add up 46, you know that the following is true:

x² + 46x - 47 = (x - 1 ) (x + 47)

Multiply To One Number and Add Up To Another
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