2000019106 | math4u.vsb.cz

SubArea:

Equations and inequalities with parameters

Level:

Project ID:

2000019106

Accepted:

0

Clonable:

0

Easy:

1

Consider the following equation with a parameter

a

.

\frac{x - a}{x - 3} = 2 a

Choose the table that summarizes solutions of the equation according to the value of

a

.

\begin{array}{cc} Parameter & Solution set \\ a \in {\frac{1}{2}; 3} & \emptyset \\ a \in R ∖ {\frac{1}{2}; 3} & {\frac{5 a}{2 a - 1}} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a = 3 & \emptyset \\ a \neq 3 & {\frac{5 a}{2 a - 1}} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a = \frac{1}{2} & \emptyset \\ a \neq \frac{1}{2} & {\frac{5 a}{2 a - 1}} \end{array}