What two numbers multiply to -112 and add up to 54?

Here we answer the question: "What two numbers multiply to -112 and add up to 54?"

The answer to your question is:

-2 and 56

Below we illustrate and prove that -2 and 56 multiply to -112 and add up to 54:

-2 × 56 = -112
-2 + 56 = 54

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

x² + 54x - 112 = 0

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

(x - 2 ) (x + 56)

To summarize, since -2 and 56 multiply to -112 and add up 54, you know that the following is true:

x² + 54x - 112 = (x - 2 ) (x + 56)

Multiply To One Number and Add Up To Another
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