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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
      If \[\alpha \] and \[\beta \] are the root of the equation\[2{{x}^{2}}-3x-7=0\] then the value of\[\alpha {{\beta }^{2}}+{{\alpha }^{2}}\beta +\alpha \beta \] are.

    A) \[6\]                             

    B)  \[\frac{-35}{4}\]

    C)  \[\frac{3}{4}\]                         

    D)  \[\frac{-15}{8}\]

    Correct Answer: B

    Solution :

    (b): We have,\[\alpha {{\beta }^{2}}+{{\alpha }^{2}}\beta +\alpha \beta =\alpha \beta (\alpha +\beta )+\alpha \beta \] \[=\frac{-7}{2}\times \frac{+3}{2}+\frac{-7}{2}=\frac{-21}{4}-\frac{7}{2}=\frac{-35}{4}\]


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