JEE Main & Advanced
Mathematics
Complex Numbers and Quadratic Equations
Question Bank
Numerical Value Type Questions - Quadratic Equation
question_answer
If one root of the equations \[a{{x}^{2}}+bx+c=0\] and \[b{{x}^{2}}+cx+a=0\] \[\left( a,b,c\in R \right)\] is common, then find the value\[\left( \frac{{{a}^{3}}+{{b}^{3}}+{{c}^{3}}}{abc} \right)\].