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10r+r^2=120

 May 25, 2015

Best Answer 

 #1
avatar+128596 
+5

10r+r^2=120     rearrange

 

r^2 + 10r  - 120pi = 0     ........using the onsite solver, we have...

 

$${{\mathtt{r}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{r}}{\mathtt{\,-\,}}{\mathtt{120}}{\mathtt{\,\times\,}}{\mathtt{\pi}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{r}} = {\mathtt{\,-\,}}{\sqrt{{\mathtt{5}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{24}}{\mathtt{\,\times\,}}{\mathtt{\pi}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}}}{\mathtt{\,-\,}}{\mathtt{5}}\\
{\mathtt{r}} = {\sqrt{{\mathtt{5}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{24}}{\mathtt{\,\times\,}}{\mathtt{\pi}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}}}{\mathtt{\,-\,}}{\mathtt{5}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{r}} = -{\mathtt{25.049\: \!716\: \!168\: \!334\: \!532}}\\
{\mathtt{r}} = {\mathtt{15.049\: \!716\: \!168\: \!334\: \!532}}\\
\end{array} \right\}$$

 

 

 May 25, 2015
 #1
avatar+128596 
+5
Best Answer

10r+r^2=120     rearrange

 

r^2 + 10r  - 120pi = 0     ........using the onsite solver, we have...

 

$${{\mathtt{r}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{r}}{\mathtt{\,-\,}}{\mathtt{120}}{\mathtt{\,\times\,}}{\mathtt{\pi}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{r}} = {\mathtt{\,-\,}}{\sqrt{{\mathtt{5}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{24}}{\mathtt{\,\times\,}}{\mathtt{\pi}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}}}{\mathtt{\,-\,}}{\mathtt{5}}\\
{\mathtt{r}} = {\sqrt{{\mathtt{5}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{24}}{\mathtt{\,\times\,}}{\mathtt{\pi}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}}}}{\mathtt{\,-\,}}{\mathtt{5}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{r}} = -{\mathtt{25.049\: \!716\: \!168\: \!334\: \!532}}\\
{\mathtt{r}} = {\mathtt{15.049\: \!716\: \!168\: \!334\: \!532}}\\
\end{array} \right\}$$

 

 

CPhill May 25, 2015

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