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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, separated by commas.

 Jun 16, 2020
 #1
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The possible values of a are -4, 1, and 2.

 Jun 16, 2020

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