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If z is a complex number satisfying
z + 1/z = 1,

then compute z^2 + 1/z^2.

 May 9, 2022
 #1
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z^2 + 1/z^2 = -4.

 May 9, 2022
 #2
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z2+2+1z2=(z+1z)2=1z2+1z2=12=1

.
 May 9, 2022

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