What two numbers multiply to -728 and add up to 83?

Here we answer the question: "What two numbers multiply to -728 and add up to 83?"

The answer to your question is:

-8 and 91

Below we illustrate and prove that -8 and 91 multiply to -728 and add up to 83:

-8 × 91 = -728
-8 + 91 = 83

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

x² + 83x - 728 = 0

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

(x - 8 ) (x + 91)

To summarize, since -8 and 91 multiply to -728 and add up 83, you know that the following is true:

x² + 83x - 728 = (x - 8 ) (x + 91)

Multiply To One Number and Add Up To Another
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