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MathNet 2005 — Part 03 Question 119

Math Olympiad Vault · MathNet 2005 — Part 03

Question 119

How many regions of the plane are bounded by the graph of
$$
x^{6}-x^{5}+3 x^{4} y^{2}+10 x^{3} y^{2}+3 x^{2} y^{4}-5 x y^{4}+y^{6}=0 ?
$$