Complex Numbers And Quadratic Equations question 484

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 the value of $ {{( \frac{a^{3}+b^{3}+c^{3}}{abc} )}^{3}} $ is

Solution:

Answer: 27