2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Complex Numbers and Quadratic Equations

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

  • question_answer
    Let  one root of \[a{{x}^{2}}+bx+c=0\] where \[a,b,c\] are integers be \[3+\sqrt{5}\], then the other root is [MNR 1982]

    A) \[3-\sqrt{5}\]

    B) 3

    C) \[\sqrt{5}\]

    D) None of these

    Correct Answer: A

    Solution :

    If one root of a quadratic equation with rational coefficients is irrational and of the form \[\alpha +\sqrt{\beta }\], then the other root must also be irrational and of the form \[\alpha -\sqrt{\beta }\].


You need to login to perform this action.
You will be redirected in 3 sec spinner