If 2sin2⁡π8 is a root of the equation x2 + ax +b= 0, where a and b are rational numbers, then a – b is equal to

If 2sin2π8 is a root of the equation x2 + ax +b= 0, where a and b are rational numbers, then a - b is equal to

  1. A

    52

  2. B

    32

  3. C

    12

  4. D

    12

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    Solution:

    2sin2π8=1cosπ4=112=212 (irrationalroot
    So, other root is 2+12
    sum of roots =a=112+1+12=2a=2
    Productof roots  =112=12=b 
    ab=212=52

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