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59.8=16.2*t+4.9t^2 SO DESPERATE! PLEASE HELP!!!

 Apr 23, 2015

Best Answer 

 #2
avatar+130514 
+5

4.9t^2+16.2t-59.8=0

$${\mathtt{4.9}}{\mathtt{\,\times\,}}{{\mathtt{t}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.2}}{\mathtt{\,\times\,}}{\mathtt{t}}{\mathtt{\,-\,}}{\mathtt{59.8}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{35\,863}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{81}}\right)}{{\mathtt{49}}}}\\
{\mathtt{t}} = {\frac{\left({\sqrt{{\mathtt{35\,863}}}}{\mathtt{\,-\,}}{\mathtt{81}}\right)}{{\mathtt{49}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = -{\mathtt{5.517\: \!863\: \!036\: \!299\: \!136\: \!9}}\\
{\mathtt{t}} = {\mathtt{2.211\: \!740\: \!587\: \!319\: \!545\: \!1}}\\
\end{array} \right\}$$

 

  

 Apr 23, 2015
 #1
avatar+118723 
+5

59.8=16.2*t+4.9t^2

rearrange

4.9t^2+16.2t-59.8=0

now solve it useing the quadratic formula.

 Apr 23, 2015
 #2
avatar+130514 
+5
Best Answer

4.9t^2+16.2t-59.8=0

$${\mathtt{4.9}}{\mathtt{\,\times\,}}{{\mathtt{t}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{16.2}}{\mathtt{\,\times\,}}{\mathtt{t}}{\mathtt{\,-\,}}{\mathtt{59.8}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{35\,863}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{81}}\right)}{{\mathtt{49}}}}\\
{\mathtt{t}} = {\frac{\left({\sqrt{{\mathtt{35\,863}}}}{\mathtt{\,-\,}}{\mathtt{81}}\right)}{{\mathtt{49}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = -{\mathtt{5.517\: \!863\: \!036\: \!299\: \!136\: \!9}}\\
{\mathtt{t}} = {\mathtt{2.211\: \!740\: \!587\: \!319\: \!545\: \!1}}\\
\end{array} \right\}$$

 

  

CPhill Apr 23, 2015

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