What two numbers multiply to -112 and add up to 24?

Here we answer the question: "What two numbers multiply to -112 and add up to 24?"

The answer to your question is:

-4 and 28

Below we illustrate and prove that -4 and 28 multiply to -112 and add up to 24:

-4 × 28 = -112
-4 + 28 = 24

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

x² + 24x - 112 = 0

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

(x - 4 ) (x + 28)

To summarize, since -4 and 28 multiply to -112 and add up 24, you know that the following is true:

x² + 24x - 112 = (x - 4 ) (x + 28)

Multiply To One Number and Add Up To Another
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