10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
    Which of the following equations has no real roots?

    A)  \[{{x}^{2}}-4x+3\sqrt{2}=0\]

    B)  \[{{x}^{2}}+2x-6\sqrt{2}=0\]

    C)  \[{{x}^{2}}-4x-3\sqrt{2}=0\]  

    D) \[3{{x}^{2}}-4\sqrt{3x}-4=0\]

    Correct Answer: A

    Solution :

    (a): Aliter: By physical inspection also, one can arrive at the answer: In (B), (C) and (D) ?c? term is negative which make 4ac as positive & hence \[{{b}^{2}}-4ac\]as positive.\[\Rightarrow \](B), (C), (D) cannot be correct options.


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