What two numbers multiply to -120 and add up to 14?

Here we answer the question: "What two numbers multiply to -120 and add up to 14?"

The answer to your question is:

-6 and 20

Below we illustrate and prove that -6 and 20 multiply to -120 and add up to 14:

-6 × 20 = -120
-6 + 20 = 14

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

x² + 14x - 120 = 0

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

(x - 6 ) (x + 20)

To summarize, since -6 and 20 multiply to -120 and add up 14, you know that the following is true:

x² + 14x - 120 = (x - 6 ) (x + 20)

Multiply To One Number and Add Up To Another
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