9000140004 | math4u.vsb.cz

SubArea:

Equations and inequalities with parameters

Level:

Project ID:

9000140004

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 - 3} = 3

\begin{array}{cc} Parameter & Solution set \\ a = 0 & \emptyset \\ a = 3 & R ∖ {1} \\ a \notin {0; 3} & {\frac{a + 3}{a}} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a = 0 & \emptyset \\ a = 3 & {1} \\ a \notin {0; 3} & {\frac{a + 3}{a}} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a \in {0; 3} & \emptyset \\ a \notin {0; 3} & {\frac{a + 3}{a}} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a = 0 & \emptyset \\ a = 3 & R \\ a \notin {0; 3} & {\frac{a + 3}{a}} \end{array}