What two numbers multiply to 224 and add up to -114?

Here we answer the question: "What two numbers multiply to 224 and add up to -114?"

The answer to your question is:

-112 and -2

Below we illustrate and prove that -112 and -2 multiply to 224 and add up to -114:

-112 × -2 = 224
-112 + -2 = -114

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

x² - 114x + 224 = 0

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

(x - 112 ) (x - 2)

To summarize, since -112 and -2 multiply to 224 and add up -114, you know that the following is true:

x² - 114x + 224 = (x - 112 ) (x - 2)

Multiply To One Number and Add Up To Another
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