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SSC Quantitative Aptitude Algebra Question Bank Elementary Algebra (I)

  • question_answer
    If \[x=\sqrt[3]{5}+2,\]then the value of \[{{x}^{3}}-6{{x}^{2}}+12x-13\]is

    A) -1

    B) 1

    C) 2

    D) 0

    Correct Answer: D

    Solution :

    [d] \[x=\sqrt[3]{5}+2\] \[\Rightarrow \]   \[{{(x-2)}^{3}}=5\] \[\Rightarrow \]   \[{{x}^{3}}-8-6x\,(x-2)=5\] \[\Rightarrow \]   \[{{x}^{3}}-8-6{{x}^{2}}+12x=5\] \[\Rightarrow \]   \[{{x}^{3}}-6{{x}^{2}}+12x-13=0\]


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