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

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    Cubic Formula
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SUMMARY

The cubic formula can be expressed in various forms, but there is no unique way to write it. While the standard presentation is preferred for clarity, alternative representations exist, often complicating the expression. The discussion references Bhaskara II's contributions to formula representation, emphasizing that while infinite variations are possible, they typically do not simplify the solution. Thus, the established cubic formula remains the most effective for practical use.

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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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