Level:
Project ID:
9000104505
Accepted:
1
Clonable:
0
Easy:
0
Solve the following equation with unknown \(x\) and a real parameter \(a\in\mathbb{R}\setminus\{-3;3\}\).
\[\frac{a-x} {a-3} - \frac{6a} {a^{2}-9} = \frac{x-3}
{a+3} \]
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \emptyset \\
a\notin\{-3;0;3\} & \left\lbrace\frac{a^2-9}{2a}\right\rbrace
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \mathbb{R} \\
a\notin\{-3;0;3\} & \left\lbrace\frac{a^2-9}{2a}\right\rbrace
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \mathbb{R}\setminus\{0\} \\
a\notin\{-3;0;3\} & \left\lbrace\frac{a^2-9}{2a}\right\rbrace
\\\hline \end{array}\)