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Find all values of the real number \(a\) so that the four complex roots of\(z^4 - 6z^3 + 11az^2 - 3(2a^2 + 3a - 3) z + 1 = 0\)
form the vertices of a parallelogram in the complex plane. Enter all the values of \(a\), separated by commas.

 #1
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The only one for a that I found is 3.

 Dec 8, 2021

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