2010008408

Level: 
Project ID: 
2010008408
Source Problem: 
Accepted: 
0
Clonable: 
1
Easy: 
0
Solve the following equation with unknown \(x\) and a real parameter \(a\in\mathbb{R}\setminus\{1\}\). \[\frac{x} {1-a} = a-x\]
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline a=2 & \emptyset \\ a\notin\{1;2\} & \frac{a-a^2}{2-a} \\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline a=2 & \mathbb{R} \\ a\notin\{1;2\} & \frac{a-a^2}{2-a} \\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline a=2 & \mathbb{R} \\ a\notin\{1;2\} & \emptyset \\\hline \end{array}\)