What two numbers multiply to 119 and add up to -120?

Here we answer the question: "What two numbers multiply to 119 and add up to -120?"

The answer to your question is:

-119 and -1

Below we illustrate and prove that -119 and -1 multiply to 119 and add up to -120:

-119 × -1 = 119
-119 + -1 = -120

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

x² - 120x + 119 = 0

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

(x - 119 ) (x - 1)

To summarize, since -119 and -1 multiply to 119 and add up -120, you know that the following is true:

x² - 120x + 119 = (x - 119 ) (x - 1)

Multiply To One Number and Add Up To Another
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