Melody

Well the answer is n=8

I got this from the graph

https://www.desmos.com/calculator/ncyzikps9l

 

I also got it from our web2.0calc    

 

$${\frac{{{\mathtt{n}}}^{{\mathtt{3}}}}{{\mathtt{6}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{{\mathtt{n}}}^{{\mathtt{2}}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{n}}}{{\mathtt{3}}}}{\mathtt{\,-\,}}{\mathtt{120}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{n}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{239}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,\small\textbf+\,}}{\mathtt{11}}\right)}{{\mathtt{2}}}}\\
{\mathtt{n}} = {\frac{\left({\sqrt{{\mathtt{239}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,-\,}}{\mathtt{11}}\right)}{{\mathtt{2}}}}\\
{\mathtt{n}} = {\mathtt{8}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{n}} = {\mathtt{\,-\,}}\left({\frac{{\mathtt{11}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.729\: \!812\: \!416\: \!869\: \!953}}{i}\right)\\
{\mathtt{n}} = {\mathtt{\,-\,}}{\frac{{\mathtt{11}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7.729\: \!812\: \!416\: \!869\: \!953}}{i}\\
{\mathtt{n}} = {\mathtt{8}}\\
\end{array} \right\}$$

.

@@ End of Day Wrap   Thurs 21/5/15   Sydney, Australia Time   10:30pm   ♪ ♫

 

Hi all,

 

Our diligent answerers today were CPhill, Dgb4thebest, Nauseated, Rosala, civonamzuk, thejamesmachine, DarkBlaze347, Radix, MathsGod1, Zacismyname and Heureka.  Thanks all  

 

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

 

Interest Posts:

 

FTJ means 'For the juniors' 

1)  Music report3 presented by Dbg4thebest    

2)  What is best?  logic humour                             Thanks Anika121, CPhill and Dbg4thebest

3)  Fun with hemispheres                                      Thanks zacismyname, Melody, CPhill and Nauseated

4)  A little log manipulation                                    Melody

5)  A mystery to be solved by EinsteinJr                Thanks Chris

6)  Manipulating Trig                                              Melody

7)  Factoring - beware this is a very common error!   (middle high level)      Thanks CPhill

8)  Last 2 digits of 5^2015   (continued)                Thanks CPhill

9)  Another circle puzzle from Civonamzuk             Thanks Heureka

10) Difficult integration                                           Melody

 

                          ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Fri 22/5/15

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

Interest Posts:

FTJ means 'For the juniors' 

 

1)  We are up and going again :)

2)  Our points are all over the place again.

3)  Rosala has been a member one year to the day!     Thank you for your moving tribute Rosala  

4)  It appears the forums official games is underway - Rosala seems to have it all under control 

5)                  team deciding

6)  Rationalising the denominator and the importance of brackets    Thanks Rosala, Zacismyname and Melody.

7)  Physics (weight on inclined plane)                                               not answered yet.   

8)  Another of Civonamzuk's circle specials                                  Impressive answer CPhill 

9)  And another from Civonamzuk                                                    Impressive again Chris 

10) Which digit will appear the least? (brainteaser from Thejamesmachine)   FTJ+     Thanks CPhill and Anon 

11)  Angle of Depression                                                                  Thanks Zacixmyname

12)  How many sides does the regular polygon have?                      Thanks CPhill and Melody

 

                          ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫