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I have the same question in here

Proofs in Beamer

In the answer, the author used beamertemplate to examine breaking the frames. But how can i change it to my paragraph?

For example, i need to insert the following problem and its solution

Problem : Solve x^{3} - x -3=2\sqrt[3]{6x-3x^{2}}

Proof : Put a:=\sqrt[3]{6x-3x^2} to obtain a system

\begin{eqnarray}x^3-x-3 &=& 2a\\6x-3x^2 &=& a^3\end{eqnarray}

Add the equations up to get

x^3-3x^2+5x-3=a^3+2a

(x-1)^3+2(x-1)=a^3+2a

Put y:=x-1 to get

y^3+2y=a^3+2a

(y-a)(y^2+ay+a^2+2)=0

The second factor is obviously always positive, hence y=a\iff a=x-1

Now (1) yields x^3-x-3=2x-2\iff x^3-3x=1

Put x:=2t to get

8t^3-6t=1\iff 4t^3-3t={1\over 2}

By addition formulas, there must exist \phi such that t=\cos\phi, yielding

\cos 3\phi={1\over 2}\iff 3\phi=\pm{\pi\over 3}+2k\pi\iff \phi=\pm{\pi\over 9}+{2k\pi\over 3},k\in\mathbb{Z}

Now x=2\cos\phi=2\cos\left(\pm{\pi\over 9}+{2k\pi\over 3}\right), i.e.

x\in\left\{2\cos{\pi\over 9},2\cos{5\pi\over 9},2\cos{7\pi\over 9}\right\}

It may take more than one frame and i think the command allowbreakframes is useful. But i don't know how to exchange beamertemplate to my above paragraph. I also want to put the problem and the solution in blocks. Thanks for your listening my question!

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closed as too localized by Marco Daniel, lockstep, Kurt, Claudio Fiandrino, Jubobs Apr 7 '13 at 17:12

This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

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Please add a minimal working example so we know what you tried so far. So far your question seems unclear what you're aiming at. –  user24276 Feb 5 '13 at 12:20
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Hi Nhật Tân Trần and welcome to TeX.sx. In its current form, your question might not receive many answers. Please take a look at the How to Ask-page and try to improve your question according to the guidance found there. This may require you to show some effort on your part in terms of attempting a solution. If you have questions about what to do or if you don't quite understand what this means, please ask for clarification using the add comment function. –  Marco Daniel Feb 5 '13 at 12:20
    
Dear @MarcoDaniel, thanks for your comments. I'm not familiar with this website because I'm a beginner. I'm trying to express my question, but I'm sorry if it didn't. I wanted to ask someone for breaking a proof between frames because sometimes it takes more than one frame. I understood the answer in current post, but i don't know where can I insert my code into that environment? –  Gooner Feb 5 '13 at 13:25
    
We don't know your code. Providing a minimal working example (MWE) is the best tool to show your issue. –  Marco Daniel Feb 5 '13 at 19:22
    
@MarcoDaniel, I edited my question. Please help me if you have time. –  Gooner Feb 6 '13 at 13:03
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