Level:
Project ID:
9000104504
Accepted:
1
Clonable:
0
Easy:
0
Solve the following equation with unknown \(x\) and a real parameter \(a\in\mathbb{R}\setminus\{0\}\).
\[\frac{1} {x-a} + 1 = \frac{1} {a}\]
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=1 & \emptyset \\
a\notin\{0,1\} & \left\lbrace\frac{a(a-2)}{a-1}\right\rbrace
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=1 & \mathbb{R}\setminus\{1\} \\
a\notin\{0;1\} & \left\lbrace\frac{a(a-2)}{a-1}\right\rbrace
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=1 & \mathbb{R} \\
a\notin\{0,1\} & \left\lbrace\frac{a(a-2)}{a-1}\right\rbrace
\\\hline \end{array}\)