If one root of equation x2 + ax + 12 = 0 is 4 while the equation x2 + ax + b = 0 has equal roots, then the value of b is

If one root of equation x2 + ax + 12 = 0 is 4 while the equation x2 + ax + b = 0 has equal roots, then the value of b is

  1. A

    449

  2. B

    494

  3. C

    74

  4. D

    47

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    Solution:

    Since, 4 is a root of x2+ax+12=0
        16+4a+12=0    a=7
    Let the roots of the equation x2+ax+b=0 be α and α
     2α=aα=72
    and αα=b722=b
     b=494

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