MathProblemsBank

17.1 USE problems

Problem: Find all the values of a, for which the system of inequalities \[ \left\{\begin{array}{l} x^{2}+(5 a+2) x+4 a^{2}+2 a<0 \\ x^{2}+a^{2}=4 \end{array}\right. \] has at least one solution.