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

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

The answer to your question is:

-1 and 729

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

-1 × 729 = -729
-1 + 729 = 728

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

x² + 728x - 729 = 0

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

(x - 1 ) (x + 729)

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

x² + 728x - 729 = (x - 1 ) (x + 729)

Multiply To One Number and Add Up To Another
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