Level:
Project ID:
9000140002
Accepted:
1
Clonable:
0
Easy:
0
Solve the following equation with unknown \(x\) and a real parameter \(a\in\mathbb{R}\setminus\{0\}\).
\[ \frac{x+a} {a} = ax - 1\]
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a\in\{-1;1\} & \emptyset \\
a\notin\{-1;0;1\} & \left\{\frac{2a}{(a-1)(a+1)}\right\}
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=-1 & \emptyset \\
a\notin\{-1;0\} & \left\{\frac{2a}{(a-1)(a+1)}\right\}
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a\in\{-1;1\} & \mathbb{R} \\
a\notin\{-1;0;1\} & \left\{\frac{2a}{(a-1)(a+1)}\right\}
\\\hline \end{array}\)