Cubic Formula: Is There a Unique Way to Write It?

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The discussion centers on whether the cubic formula has a unique representation or if alternative forms exist. It acknowledges that while infinite rewrites are possible, many result in more complex expressions. The consensus suggests that the standard form is preferred for clarity and simplicity. Non-trivial variations can exist, but they often complicate the original formula. Ultimately, the standard cubic formula remains the most effective way to present solutions.
Bruno Tolentino
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This formula:

cubic.gif


Is the unique form of write the cubic formula or exist other?

OBS: Can be that other formula can be get through of some formula like this:

c1375136dcd4335e890aa5b016157eb2.png


source: https://pt.wikipedia.org/wiki/Bhaskara_II
 
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There are infinite ways to rewrite every formula. The most stupid way is to add +7-7 at the end, but there are many non-trivial ways to rewrite it. As far as I know, they all make the expression more complicated, that's why this form is used to present the solution.
 

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