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  • Question
  • Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3 ? A) 3x2+5x+2=0 B) 5x2+3x+2=0 C) 3x2-5x-2=0 D) None


  • Options
  • A. A
  • B. B
  • C. C
  • D. D

  • Correct Answer


  • Explanation

    The quadratic equation whose roots are reciprocal of 2 x 2 + 5 x + 3 = 0  can be obtained by replacing x by 1/x.

     

    Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

     

    =>  3 x 2 + 5 x + 2 = 0

     

     

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

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