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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equations

  • question_answer
    Two numbers whose sum is 12 and the absolute value of whose difference is 4 are the roots of the equation _____.

    A)  \[{{x}^{2}}-12x+30=0\]

    B)                     \[{{x}^{2}}-12x+32=0\]

    C)                     \[2{{x}^{2}}-6x+7=0\]

    D)                      \[2{{x}^{2}}-24x+43=0\]

    Correct Answer: B

    Solution :

    Let the two roots be a and b, then           \[a+b=12\]      ...(1) and    \[a-b=4\]    ...(2)       \[\Rightarrow \]  \[a=8\]and \[b=4\](from (1) and (2))         Required equation is\[{{x}^{2}}-12x+32=0\]   


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