Level:
Project ID:
2000019105
Accepted:
0
Clonable:
0
Easy:
1
Consider the following equation with a parameter \( a\).
\[
\frac{2x-a}{x-5}=a
\]
Choose the table that summarizes solutions of the equation according to the value of \(a\).
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a \in \{2;10\} & \emptyset \\
a \in \mathbb{R} \setminus \{2;10\}& \left\lbrace\frac{4a}{a-2}\right\rbrace
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=5 & \emptyset \\
a \neq 5 & \left\lbrace\frac{4a}{a-2}\right\rbrace
\\\hline \end{array}\)
\(\begin{array}{cc} \hline \text{Parameter} & \text{Solution set}\\ \hline
a=2 & \emptyset \\
a \neq 5 & \left\lbrace\frac{4a}{a-2}\right\rbrace
\\\hline \end{array}\)