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10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    If the equation \[4{{x}^{2}}+x(p+1)=0\] has exactly two equal roots, then one of the values of p is

    A) 5                                             

    B) - 3

    C) 0                             

    D)        3  

    Correct Answer: D

    Solution :

    Since the equation \[4{{x}^{2}}+x(p+1)+1=0\] has two equal roots, therefore Discriminant\[=0\] or            \[{{b}^{2}}-4ac=0\] or            \[{{(p+1)}^{2}}-4\times 4\times 1=0\] or            \[{{p}^{2}}+2p+1-16=0\] or            \[{{p}^{2}}+2p-15=0\] or            \[(p+5)(p-3)=0\] \[\therefore \]  \[p=-5\]or\[p=3\] Hence, one of the values of \[p\] is\[3\].


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