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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Solution of quadratic equations and Nature of roots

  • question_answer
    The  roots of the quadratic equation \[2{{x}^{2}}+3x+1=0\], are  [IIT 1983]

    A) Irrational

    B) Rational

    C) Imaginary

    D) None of these

    Correct Answer: B

    Solution :

    Let \[f(x)=2{{x}^{2}}+3x+1=0\] \[\therefore \,\,\,\,x=\frac{-3\pm \sqrt{9-8}}{4}=\frac{-3\pm 1}{4}\] Hence roots are \[-\frac{1}{2},-1\](Rational).


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