Complex Numbers And Quadratic Equations question 512

Question: If one root of the equations $ ax^{2}+bx+c=0 $ and $ bx^{2}+cx+a=0 $ $ ( a,b,c\in R ) $ is common, then find the value $ ( \frac{a^{3}+b^{3}+c^{3}}{abc} ) $ .

Solution:

Answer: 27.00