2010008408 | math4u.vsb.cz

SubArea:

Equations and inequalities with parameters

Level:

Project ID:

2010008408

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

Solve the following equation with unknown

x

and a real parameter

a \in R ∖ {1}

.

\frac{x}{1 - a} = a - x

\begin{array}{cc} Parameter & Solution set \\ a = 2 & \emptyset \\ a \notin {1; 2} & \frac{a - a^{2}}{2 - a} \end{array}

\begin{array}{cc} Parameter & Solution set \\ a = 2 & R \\ a \notin {1; 2} & \frac{a - a^{2}}{2 - a} \end{array}

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