Multiple Choice Questions on y satisfies which one of the following condition ........ for CDS Exam Preparation

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Multiple Choice Questions

y satisfies which one of the following condition ........

Quantitative Aptitude (CDS) Quadratic Equations
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    \small If\: x =\frac{1+\sqrt{3}}{2}\: and \: y=x^{3}, then

    y satisfies which one of the following condition?

    8y2 - 20y -1 =0
     

    Correct Answer

    8y2 + 20y -1 =0

    Incorrect Answer

    8y2 + 20y + 1 =0

    Incorrect Answer

    8y2 - 20y +1 =0

    Incorrect Answer
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    Explanation:

    y =x3 
    \small x=\sqrt[3]{y}
    \small 2\sqrt[3]{y}=\sqrt{3}+1
    \small 8y = 10 +6\sqrt{3}=>4y=5+ \sqrt[3]{3}
    \small => (4y - 5)^{2}=27 = > 8y^{2}-20y-1=0

     

    By: Munesh Kumari
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