What two numbers multiply to -120 and add up to 119?

Here we answer the question: "What two numbers multiply to -120 and add up to 119?"

The answer to your question is:

-1 and 120

Below we illustrate and prove that -1 and 120 multiply to -120 and add up to 119:

-1 × 120 = -120
-1 + 120 = 119

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

x² + 119x - 120 = 0

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

(x - 1 ) (x + 120)

To summarize, since -1 and 120 multiply to -120 and add up 119, you know that the following is true:

x² + 119x - 120 = (x - 1 ) (x + 120)

Multiply To One Number and Add Up To Another
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