What two numbers multiply to 214 and add up to -109?

Here we answer the question: "What two numbers multiply to 214 and add up to -109?"

The answer to your question is:

-107 and -2

Below we illustrate and prove that -107 and -2 multiply to 214 and add up to -109:

-107 × -2 = 214
-107 + -2 = -109

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

x² - 109x + 214 = 0

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

(x - 107 ) (x - 2)

To summarize, since -107 and -2 multiply to 214 and add up -109, you know that the following is true:

x² - 109x + 214 = (x - 107 ) (x - 2)

Multiply To One Number and Add Up To Another
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