10th Class Mathematics Quadratic Equations Question Bank Quadratic Equations

  • question_answer
    Which of the following is the quadratic equation one of whose roots is\[3-2\sqrt{3}\]?

    A)  \[{{x}^{2}}+6x-3=0\]

    B)         \[{{x}^{2}}-6x-3=0\]

    C)  \[{{x}^{2}}+6x+3=0\]

    D)         \[{{x}^{2}}-6x+3=0\]

    Correct Answer: B

    Solution :

     Let\[={{\text{2}}^{\text{6}}}\times {{\text{5}}^{\text{2}}}\times {{\text{7}}^{\text{4}}}\text{c}{{\text{m}}^{\text{2}}}\]and \[2-\sqrt{4}=2-2=0\] \[{{(\sqrt{5})}^{2}}=5\] \[\sqrt{9}-\sqrt{4}=3-2=1\] \[\sqrt{2}-\sqrt{3}\]The required quadratic equation is \[1789=29x+49\].


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