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Consider the graph of the equation \(z^2 + (\overline{z})^2 = 2.\)For each complex number in the following list, 1, 0, 1+i,  \(2 - i\sqrt{3}\), 2-i, -1, i.

Figure out whether each one is on the graph.

 Apr 5, 2020
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The complex numbers that work are 1, 1 + i, -1, and i.

 Apr 5, 2020

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