What two numbers multiply to -48 and add up to 22?

Here we answer the question: "What two numbers multiply to -48 and add up to 22?"

The answer to your question is:

-2 and 24

Below we illustrate and prove that -2 and 24 multiply to -48 and add up to 22:

-2 × 24 = -48
-2 + 24 = 22

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

x² + 22x - 48 = 0

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

(x - 2 ) (x + 24)

To summarize, since -2 and 24 multiply to -48 and add up 22, you know that the following is true:

x² + 22x - 48 = (x - 2 ) (x + 24)

Multiply To One Number and Add Up To Another
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