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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equations

  • question_answer
    One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of \[{{x}^{2}}\]correctly as \[-6\] and 1 respectively. The correct roots are ??.

    A)  \[3,-2\]          

    B)  \[-3,2\]

    C)         \[-6,-1\]         

    D)         \[6,-1\]           

    Correct Answer: D

    Solution :

    Let the equation be \[{{x}^{2}}+ax+b=0\] Its roots are 3 and 2 \[\therefore \]  Sum of roots, \[5=-a\] and product of roots, \[~6=b\] Equation is \[{{x}^{2}}-5x+6-0\] Now constant term is wrong and it is given that correct constant term is\[-6\]. \[\therefore \]  \[{{x}^{2}}-5x-6=0\]is the correct equation. Its roots are \[-1\] and 6.


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