What two numbers multiply to 112 and add up to -22?

Here we answer the question: "What two numbers multiply to 112 and add up to -22?"

The answer to your question is:

-14 and -8

Below we illustrate and prove that -14 and -8 multiply to 112 and add up to -22:

-14 × -8 = 112
-14 + -8 = -22

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

x² - 22x + 112 = 0

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

(x - 14 ) (x - 8)

To summarize, since -14 and -8 multiply to 112 and add up -22, you know that the following is true:

x² - 22x + 112 = (x - 14 ) (x - 8)

Multiply To One Number and Add Up To Another
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