10th Class Mathematics Polynomials Question Bank Polynomial

  • question_answer
    The roots of \[x+\frac{1}{x}=3,\] when \[x\ne 0\] are:

    A)  \[3,-3\]             

    B)  \[\frac{3+\sqrt{5}}{2},\frac{3-\sqrt{5}}{2}\]

    C)  \[\frac{5+\sqrt{3}}{2},\frac{5-\sqrt{3}}{2}\]     

    D)  \[\frac{5+\sqrt{6}}{2},\frac{5-\sqrt{6}}{2}\]

    Correct Answer: B

    Solution :

    (b): Roots\[=\frac{-b\pm \sqrt{{{b}^{2}}-4ac}}{2a}\] Cross - Check: See that product of roots = 1; if you multiply roots in option (b), product = 1


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