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SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

  • question_answer
    If \[\alpha \], \[\beta \] are the roots of the equation \[{{x}^{2}}-px+q=0,\]then find the value of \[({{\alpha }^{3}}+{{\beta }^{3}})\]

    A)  \[{{p}^{2}}+3pq\]

    B)  \[{{p}^{2}}-3pq\]

    C)  \[{{p}^{3}}+3pq\]

    D)  \[{{p}^{3}}-3qp\]

    Correct Answer: D

    Solution :

    We have \[\alpha +\beta =p\]and \[\alpha \beta =q\] \[({{\alpha }^{3}}+{{\beta }^{3}})={{(\alpha +\beta )}^{3}}-3\alpha \beta \,\,(\alpha +\beta )=({{p}^{3}}-3qp)\]


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