Level:
Project ID:
9000140004
Accepted:
1
Clonable:
0
Easy:
0
Solve the following equation with unknown \(x\) and a real parameter \(a\in\mathbb{R}\).
\[ \frac{a^{2}(x-1)} {ax-3} = 3 \]
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \emptyset \\
a=3 & \mathbb{R}\setminus\{1\} \\
a\notin\{0;3\} & \left\{\frac{a+3}a\right\} \\
\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \emptyset \\
a=3 & \{1\} \\
a\notin\{0;3\} & \left\{\frac{a+3}a\right\} \\
\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a\in\{0;3\} & \emptyset \\
a\notin\{0;3\} & \left\{\frac{a+3}a\right\} \\
\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=0 & \emptyset \\
a=3 & \mathbb{R} \\
a\notin\{0;3\} & \left\{\frac{a+3}a\right\} \\
\hline \end{array}\)