What two numbers multiply to -123 and add up to 38?

Here we answer the question: "What two numbers multiply to -123 and add up to 38?"

The answer to your question is:

-3 and 41

Below we illustrate and prove that -3 and 41 multiply to -123 and add up to 38:

-3 × 41 = -123
-3 + 41 = 38

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

x² + 38x - 123 = 0

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

(x - 3 ) (x + 41)

To summarize, since -3 and 41 multiply to -123 and add up 38, you know that the following is true:

x² + 38x - 123 = (x - 3 ) (x + 41)

Multiply To One Number and Add Up To Another
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