What two numbers multiply to 728 and add up to -729?

Here we answer the question: "What two numbers multiply to 728 and add up to -729?"

The answer to your question is:

-728 and -1

Below we illustrate and prove that -728 and -1 multiply to 728 and add up to -729:

-728 × -1 = 728
-728 + -1 = -729

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

x² - 729x + 728 = 0

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

(x - 728 ) (x - 1)

To summarize, since -728 and -1 multiply to 728 and add up -729, you know that the following is true:

x² - 729x + 728 = (x - 728 ) (x - 1)

Multiply To One Number and Add Up To Another
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