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:

-5 and 24

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

-5 × 24 = -120
-5 + 24 = 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 - 5 ) (x + 24)

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

x² + 19x - 120 = (x - 5 ) (x + 24)

Multiply To One Number and Add Up To Another
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