Equations and inequalities with parameters

2000019106

Level: 
C
Consider the following equation with a parameter a. x−ax−3=2a Choose the table that summarizes solutions of the equation according to the value of a.
ParameterSolution seta∈{12;3}∅a∈R∖{12;3}{5a2a−1}
ParameterSolution seta=3∅a≠3{5a2a−1}
ParameterSolution seta=12∅a≠12{5a2a−1}

2000019105

Level: 
C
Consider the following equation with a parameter a. 2x−ax−5=a Choose the table that summarizes solutions of the equation according to the value of a.
ParameterSolution seta∈{2;10}∅a∈R∖{2;10}{4aa−2}
ParameterSolution seta=5∅a≠5{4aa−2}
ParameterSolution seta=2∅a≠5{4aa−2}