What two numbers multiply to -121 and add up to 120?

Here we answer the question: "What two numbers multiply to -121 and add up to 120?"

The answer to your question is:

-1 and 121

Below we illustrate and prove that -1 and 121 multiply to -121 and add up to 120:

-1 × 121 = -121
-1 + 121 = 120

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

x² + 120x - 121 = 0

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

(x - 1 ) (x + 121)

To summarize, since -1 and 121 multiply to -121 and add up 120, you know that the following is true:

x² + 120x - 121 = (x - 1 ) (x + 121)

Multiply To One Number and Add Up To Another
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