9000140005
Level:
C
Solve the following equation with unknown \(x\) and a real parameter \(a\in\mathbb{R}\setminus\{0\}\).
\[\frac ax-\frac4{ax}=1-\frac2a\]
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=-2 & \emptyset \\
a=2 & \mathbb{R}\setminus\{0\} \\
a\notin\{-2;0;2\} & \left\{a+2\right\} \\
\hline
\end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=2 & \mathbb{R}\setminus\{0\} \\
a\notin\{0;2\} & \left\{a+2\right\} \\
\hline
\end{array}\)
\(
\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=2 & \mathbb{R} \\
a\notin\{0;2\} & \left\{a+2\right\} \\
\hline
\end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=2 & \mathbb{R}\setminus\{1\} \\
a\notin\{0;2\} & \left\{a+2\right\} \\
\hline
\end{array}\)