What two numbers multiply to -119 and add up to -10?

Here we answer the question: "What two numbers multiply to -119 and add up to -10?"

The answer to your question is:

-17 and 7

Below we illustrate and prove that -17 and 7 multiply to -119 and add up to -10:

-17 × 7 = -119
-17 + 7 = -10

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

x² - 10x - 119 = 0

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

(x - 17 ) (x + 7)

To summarize, since -17 and 7 multiply to -119 and add up -10, you know that the following is true:

x² - 10x - 119 = (x - 17 ) (x + 7)

Multiply To One Number and Add Up To Another
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