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Prove that quadrilateral formed by the ...

Prove that quadrilateral formed by the complex numbers which are roots of the equation `z^(4) - z^(3) + 2z^(2) - z + 1 = 0` is an equailateral trapezium.

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`z^(4) -z^(3) + 2z^(2) - z +1`
`rArr (z^(2) + 1)(z^(2) -z+1)=0`
`rArr z = pm I,(1pmsqrt(3i))/(2)`

Plotting these points on the Argand plane, we find that ABCD is an equilateral quadrilateral.
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