What two numbers multiply to -120 and add up to 58?

Here we answer the question: "What two numbers multiply to -120 and add up to 58?"

The answer to your question is:

-2 and 60

Below we illustrate and prove that -2 and 60 multiply to -120 and add up to 58:

-2 × 60 = -120
-2 + 60 = 58

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

x² + 58x - 120 = 0

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

(x - 2 ) (x + 60)

To summarize, since -2 and 60 multiply to -120 and add up 58, you know that the following is true:

x² + 58x - 120 = (x - 2 ) (x + 60)

Multiply To One Number and Add Up To Another
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