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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Numerical Value Type Questions - Complex Numbers Quadratic Equations

  • question_answer
    If one root of the equations \[a{{x}^{2}}+bx+c=0\] and \[b{{x}^{2}}+cx+a=0\] \[(a,b,c\in R)\] is common, then the value of \[{{\left( \frac{{{a}^{3}}+{{b}^{3}}+{{c}^{3}}}{abc} \right)}^{3}}\] is

    Answer:

    27


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