Level:
Project ID:
9000140003
Accepted:
1
Clonable:
0
Easy:
0
Solve the following equation with unknown \(x\) and a real parameter \(a\in\mathbb{R}\setminus\{0\}\).
\[ax - \frac{2} {a^{2}} = \frac{4x+1} {a} \]
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=-2 & \mathbb{R} \\
a=2 & \emptyset \\
a\notin\{-2;0;2\} & \left\{\frac1{a(a-2)}\right\}
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=-2 & \mathbb{R}\setminus\{1\} \\
a=2 & \emptyset \\
a\notin\{-2;0;2\} & \left\{\frac1{a(a-2)}\right\}
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=-2 & \emptyset \\
a=2 & \mathbb{R} \\
a\notin\{-2;0;2\} & \left\{\frac1{a(a-2)}\right\}
\\\hline \end{array}\)