JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Relation between roots and coefficients

  • question_answer
    What is the sum of the squares of roots of \[{{x}^{2}}-3x+1=0\] [Karnataka CET 1998]

    A) 5

    B) 7

    C) 9

    D) 10

    Correct Answer: B

    Solution :

    Let roots are \[\alpha \]and\[\beta \]. Hence, \[{{\alpha }^{2}}+{{\beta }^{2}}={{(\alpha +\beta )}^{2}}-2\alpha \beta ={{(3)}^{2}}-2\times 1=7\].


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