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The only solution to the equation x^2 − xy + y^2 = 0 is the origin....

The only solution to the equation x^2 − xy + y^2 = 0 is the origin. Prove that statement is
true by converting to polar coordinates. To be clear, you need to show two things:
a. The origin is a solution to the equation (easy).
b. There is no other point which is a solution to the equation (not easy).

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