The roots of (x-41)^(49)+(x-49)^(41)+(x-...

The roots of `(x-41)^(49)+(x-49)^(41)+(x-2009)^(2009)=0` are

A

All necessarily real

B

Non-real except one positive real root

C

Non-real except three positive real roots

D

Non-real except for three real roots of which exactly one is positive.

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The correct Answer is:

B

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