SOLUTION: Show that z^n +(complex conjugate of z)^n is always real for integer n.

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Question 1160752: Show that z^n +(complex conjugate of z)^n is always real for integer n.
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

x = a+bi =
x_ = a-bi =
(x_ is complex conjugate of x)
where M= and
=
=
=
=
Notice has no imaginary component, hence it is strictly real.

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