JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Solution of quadratic equations and Nature of roots

  • question_answer
    If \[\sqrt{3{{x}^{2}}-7x-30}+\sqrt{2{{x}^{2}}-7x-5}=x+5\],then x is equal to

    A) 2

    B) 3

    C) 6

    D) 5

    Correct Answer: C

    Solution :

      \[\sqrt{3{{x}^{2}}-7x-30}+\sqrt{2{{x}^{2}}-7x-5}=x+5\] \[\sqrt{3{{x}^{2}}-7x-30}=(x+5)-\sqrt{2{{x}^{2}}-7x-5}\] on squaring, \[\sqrt{2{{x}^{2}}-7x-5}=5\] \[2{{x}^{2}}-7x-30=0\,\,\Rightarrow \,\,x=6\].


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