What two numbers multiply to -415 and add up to 78?

Here we answer the question: "What two numbers multiply to -415 and add up to 78?"

The answer to your question is:

-5 and 83

Below we illustrate and prove that -5 and 83 multiply to -415 and add up to 78:

-5 × 83 = -415
-5 + 83 = 78

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

x² + 78x - 415 = 0

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

(x - 5 ) (x + 83)

To summarize, since -5 and 83 multiply to -415 and add up 78, you know that the following is true:

x² + 78x - 415 = (x - 5 ) (x + 83)

Multiply To One Number and Add Up To Another
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