2010008402 Level: AFind all the values of the parameter k so that the solution of the following equation is positive. kx−2=3x−kk∈(2;3)k∈(0;∞)k∈(3;∞)k∈(−∞;2)
2010008401 Level: AFind all the values of the parameter k so that the solution of the following equation is bigger than 6. 2x−9=7x−3k3k∈(−∞;11)k∈{11}k∈(11;∞)k∈(−∞;13)
9000375401 Level: AFind a set of the values of the real parameter a which ensure that the following equation has a unique solution. a3x+4a−1=a2x+3R∖{0;1}R∖{−1;1}R∖{0}R∖{−1;0}
9000375402 Level: AFind a set of the values of the real parameter a which ensure that the following equation does not have a solution. 2x+a=a(a2−x){−2}{1}{−1}{0}
9000375403 Level: AFind a set of the values of the real parameter a which ensure that the following equation has infinitely many solutions. a2x+ax−a=2x−1{1}∅{0}{−2}
9000375404 Level: AFind a set of the values of the real parameter a which ensure that the following equation has infinitely many solutions. a2x+2ax−3x=a−2∅{−3;1}{−3;1;2}{0}
9000375405 Level: AFind a set of the values of the real parameter a which ensure that the following equation has a unique solution. a2x+6x=a+1−5axR∖{−3;−2}R∖{2;3}R∖{−1;2;3}R∖{−3;−2;1}
9000140001 Level: CConsider the equation 4ax−1ax+2a=4 with unknown x and a parameter a∈R∖{0}. Identify a true statement.If a=12, then the solution is x∈R∖{0}.If a=12, then the equation has no solution.If a=12, then the solution is x∈R.