What two numbers multiply to -49 and add up to 48?

Here we answer the question: "What two numbers multiply to -49 and add up to 48?"

The answer to your question is:

-1 and 49

Below we illustrate and prove that -1 and 49 multiply to -49 and add up to 48:

-1 × 49 = -49
-1 + 49 = 48

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

x² + 48x - 49 = 0

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

(x - 1 ) (x + 49)

To summarize, since -1 and 49 multiply to -49 and add up 48, you know that the following is true:

x² + 48x - 49 = (x - 1 ) (x + 49)

Multiply To One Number and Add Up To Another
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