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10m2 - 12m - 12 = 0

 Aug 21, 2015

Best Answer 

 #1
avatar+128578 
+5

10m^2 - 12m - 12 = 0      divide every term by 2

 

This will not factor.......using the onsite solver and the quadratic formula, we have these two solutions :

 

$${\mathtt{5}}\left[{{m}}^{{\mathtt{2}}}\right]{\mathtt{\,-\,}}{\mathtt{6}}{m}{\mathtt{\,-\,}}{\mathtt{6}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{m}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{39}}}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}{{\mathtt{5}}}}\\
{\mathtt{m}} = {\frac{\left({\sqrt{{\mathtt{39}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right)}{{\mathtt{5}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{m}} = -{\mathtt{0.648\: \!999\: \!599\: \!679\: \!679\: \!6}}\\
{\mathtt{m}} = {\mathtt{1.848\: \!999\: \!599\: \!679\: \!679\: \!6}}\\
\end{array} \right\}$$
    

 

 Aug 21, 2015
 #1
avatar+128578 
+5
Best Answer

10m^2 - 12m - 12 = 0      divide every term by 2

 

This will not factor.......using the onsite solver and the quadratic formula, we have these two solutions :

 

$${\mathtt{5}}\left[{{m}}^{{\mathtt{2}}}\right]{\mathtt{\,-\,}}{\mathtt{6}}{m}{\mathtt{\,-\,}}{\mathtt{6}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{m}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{39}}}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}{{\mathtt{5}}}}\\
{\mathtt{m}} = {\frac{\left({\sqrt{{\mathtt{39}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right)}{{\mathtt{5}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{m}} = -{\mathtt{0.648\: \!999\: \!599\: \!679\: \!679\: \!6}}\\
{\mathtt{m}} = {\mathtt{1.848\: \!999\: \!599\: \!679\: \!679\: \!6}}\\
\end{array} \right\}$$
    

 

CPhill Aug 21, 2015

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