17.42 Use Problems
Condition: under what \ (a \ in \ matHBB {r} \) the equation has a real solution? \ [\ begin {array} {l} \ left (a^{5} -a^{3} -2 a^{2} +3 a-5 \ right) x^{2}+\\+\ left (a^{3} -3 a^{2} +2 +2 +2 a-a^{5} -1 \ right) x+a^{2}+A+1 = 0. \ end {Array} \]
Problems of the Use (Unified state Exam) - Equations and Inequalites in Terms of A Parameter, Solved Both by Algebraic Methods and Geometric One.