Level:
Project ID:
9000104503
Accepted:
1
Clonable:
0
Easy:
0
Solve the following equation with unknown \(x\) and a real parameter \(a\in\mathbb{R}\).
\[\frac{a^{2}(x-1)} {ax-2} = 2\]
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \emptyset \\
a=2 & \mathbb{R}\setminus\{1\} \\
a\notin\{0;2\} & \left\lbrace\frac{a+2}a\right\rbrace
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a\in\{0;2\} & \mathbb{R} \\
a\notin\{0,2\} & \left\{\frac{a+2}a\right\}
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \emptyset \\
a=2 & \mathbb{R} \\
a\notin\{0;2\} & \left\lbrace\frac{a+2}a\right\rbrace
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \mathbb{R}\setminus\{1\} \\
a=2 & \emptyset \\
a\notin\{0;2\} & \left\lbrace\frac{a+2}a\right\rbrace
\\\hline \end{array}\)