What two numbers multiply to -123 and add up to 122?

Here we answer the question: "What two numbers multiply to -123 and add up to 122?"

The answer to your question is:

-1 and 123

Below we illustrate and prove that -1 and 123 multiply to -123 and add up to 122:

-1 × 123 = -123
-1 + 123 = 122

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

x² + 122x - 123 = 0

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

(x - 1 ) (x + 123)

To summarize, since -1 and 123 multiply to -123 and add up 122, you know that the following is true:

x² + 122x - 123 = (x - 1 ) (x + 123)

Multiply To One Number and Add Up To Another
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