9000104501

SubArea: 
Equations and inequalities with parameters
Level: 
A
Project ID: 
9000104501
Accepted: 
1
Clonable: 
0
Easy: 
0
Consider equation x−3a=a−x3+2 with an unknown x∈R and a real parameter a∈R∖{0}. Identify a statement which is not true.
For a∈{−3;0} we have x=1a+3.
For a∉{−3;0} we have x=a+3.
If a=−3, then the equation has infinitely many solutions.