f ( x ) is a polynomial of 6 th degree and f ( x ) = f ( 2 − x ) ∀ x ∈ R . If f ( x ) = 0 has 4 distinct real roots and two real and equal roots then sum of roots of f ( x ) = 0

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f ( α ) = f ( 2 − α ) = 0 sum of roots = 4 When α  = 2 − α Where α = 2 − α i.e., α = 1 sum of roots = 2 ∴ Total sum = 6

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