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:

-60 and 2

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

-60 × 2 = -120
-60 + 2 = -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 - 60 ) (x + 2)

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

x² - 58x - 120 = (x - 60 ) (x + 2)

Multiply To One Number and Add Up To Another
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