What two numbers multiply to -120 and add up to 2?

Here we answer the question: "What two numbers multiply to -120 and add up to 2?"

The answer to your question is:

-10 and 12

Below we illustrate and prove that -10 and 12 multiply to -120 and add up to 2:

-10 × 12 = -120
-10 + 12 = 2

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

x² + 2x - 120 = 0

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

(x - 10 ) (x + 12)

To summarize, since -10 and 12 multiply to -120 and add up 2, you know that the following is true:

x² + 2x - 120 = (x - 10 ) (x + 12)

Multiply To One Number and Add Up To Another
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