What two numbers multiply to -120 and add up to -19?

Here we answer the question: "What two numbers multiply to -120 and add up to -19?"

The answer to your question is:

-24 and 5

Below we illustrate and prove that -24 and 5 multiply to -120 and add up to -19:

-24 × 5 = -120
-24 + 5 = -19

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

x² - 19x - 120 = 0

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

(x - 24 ) (x + 5)

To summarize, since -24 and 5 multiply to -120 and add up -19, you know that the following is true:

x² - 19x - 120 = (x - 24 ) (x + 5)

Multiply To One Number and Add Up To Another
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