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solve x2 +x= 62

 Feb 25, 2015

Best Answer 

 #1
avatar+128631 
+5

x2 +x= 62     subtract 62 from each side

x2 + x - 62 = 0   this doesn't factor......using the onsite solver, we have

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{62}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{249}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right)}{{\mathtt{2}}}}\\
{\mathtt{x}} = {\frac{\left({\sqrt{{\mathtt{249}}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{{\mathtt{2}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{8.389\: \!866\: \!919\: \!029\: \!75}}\\
{\mathtt{x}} = {\mathtt{7.389\: \!866\: \!919\: \!029\: \!75}}\\
\end{array} \right\}$$

Two real solutions......

 

 Feb 25, 2015
 #1
avatar+128631 
+5
Best Answer

x2 +x= 62     subtract 62 from each side

x2 + x - 62 = 0   this doesn't factor......using the onsite solver, we have

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{62}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{249}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right)}{{\mathtt{2}}}}\\
{\mathtt{x}} = {\frac{\left({\sqrt{{\mathtt{249}}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{{\mathtt{2}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{8.389\: \!866\: \!919\: \!029\: \!75}}\\
{\mathtt{x}} = {\mathtt{7.389\: \!866\: \!919\: \!029\: \!75}}\\
\end{array} \right\}$$

Two real solutions......

 

CPhill Feb 25, 2015

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