9000104503 | math4u.vsb.cz

SubArea:

Equations and inequalities with parameters

Level:

Project ID:

9000104503

Accepted:

1

Clonable:

0

Easy:

0

Solve the following equation with unknown

x

and a real parameter

a \in R

.

\frac{a^{2} (x - 1)}{a x - 2} = 2

\begin{array}{cc} Parameter & Solution set \\ a = 0 & \emptyset \\ a = 2 & R ∖ {1} \\ a \notin {0; 2} & {\frac{a + 2}{a}} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a \in {0; 2} & R \\ a \notin {0, 2} & {\frac{a + 2}{a}} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a = 0 & \emptyset \\ a = 2 & R \\ a \notin {0; 2} & {\frac{a + 2}{a}} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a = 0 & R ∖ {1} \\ a = 2 & \emptyset \\ a \notin {0; 2} & {\frac{a + 2}{a}} \end{array}