JEE Main & Advanced
Mathematics
Complex Numbers and Quadratic Equations
Question Bank
Numerical Value Type Questions - Complex Numbers Quadratic Equations
question_answer
If m is chosen in the quadratic equation \[({{m}^{2}}+1){{x}^{2}}-3x+{{({{m}^{2}}+1)}^{2}}=0\] such that the sum of its roots is greatest and the absolute difference of the cubes of its roots is equal to \[a\sqrt{5},\] then a is