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Manipal Engineering Manipal Engineering Solved Paper-2008

  • question_answer
    If\[a+b+c=0\], then the roots of the equation \[4a{{x}^{2}}+3bx+2c=0\]are

    A)  equal                                   

    B)  imaginary

    C)  real                      

    D)         None of these

    Correct Answer: C

    Solution :

    Given,   \[a+b+c=0\] Let   the   roots   of   the   equation \[4a{{x}^{2}}+3bx+2c=0\]are\[\alpha \]and\[\beta \]. Now,     \[D={{b}^{2}}-4ac\]                 \[=9{{b}^{2}}-4(4a)(2c)\]                 \[=9{{b}^{2}}-32ac\]                 \[=9{{(a+c)}^{2}}-32ac\] Hence, roots are real.


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