2000019104 Level: AConsider the following equation with a parameter a. 5x−a=ax+4 Choose the table that summarizes solutions of the equation according to the value of a.ParameterSolution seta=5∅a≠5{a+45−a}ParameterSolution seta=5Ra≠5{a+45−a}ParameterSolution seta=5Ra≠5∅
2000019103 Level: ADetermine the set of all values of the parameter a∈R∖{3} for which the given equation has no solution. 5x−2a−3=4+2x3{212}{25}{−3}{0}
2000019102 Level: ADetermine the set of all values of the real parameter a for which the given equation has no solution. a2x=x+a{−1;1}{−1;0;1}{1}{0;1}
2000019101 Level: BDetermine the set of all values of the parameter a∈R∖{0} for which the given equation has no solution. x−1x=2−a3a{12}{12;2}{1}{12;1}
2010008408 Level: ASolve the following equation with unknown x and a real parameter a∈R∖{1}. x1−a=a−xParameterSolution seta=2∅a∉{1;2}a−a22−aParameterSolution seta=2Ra∉{1;2}a−a22−aParameterSolution seta=2Ra∉{1;2}∅
2010008407 Level: ADetermine the set of all values of the real parameter a for which the equation will have exactly one solution. a2x+2ax−3a=0R∖{0;−2}{0;13}R∖{0;−2}R
2010008406 Level: AConsider equation q(3−q)x=6−2q with a real parameter q. Solve the equation for q=3.R∅R∖{0}{6−2qq(3−q)}
2010008405 Level: AConsider the equation x2(1−q)+2x+1+q=0 with the real parameter q. Solve the equation for q=−1.{−1;0}{−1;1}{0;1}∅
2010008404 Level: BIdentify the set of the values of the real parameter t for which the following equation has no solution in R. x2+(t+2)x+1=0(−4;0)(−∞;−4)∪(0;∞)(−∞;−4)(0;∞)
2010008403 Level: BIdentify the set of the values of the real parameter d for which the following equation has two different real roots. x2−2dx+2d2−9=0(−3;3)(−∞;−3)∪(3;∞)(−∞;−3)(3;∞)