What two numbers multiply to 123 and add up to -124?

Here we answer the question: "What two numbers multiply to 123 and add up to -124?"

The answer to your question is:

-123 and -1

Below we illustrate and prove that -123 and -1 multiply to 123 and add up to -124:

-123 × -1 = 123
-123 + -1 = -124

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

x² - 124x + 123 = 0

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

(x - 123 ) (x - 1)

To summarize, since -123 and -1 multiply to 123 and add up -124, you know that the following is true:

x² - 124x + 123 = (x - 123 ) (x - 1)

Multiply To One Number and Add Up To Another
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