Show that the quadratic curve F=(X^2+Y^2-ZX)^2-Z^2(X^2-Y^2) in CP^2 has exactly three singular points.

Singular point of a curve

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dedec

Show that the quadratic curve
F=(X^2+Y^2-ZX)^2-Z^2(X^2-Y^2)
in CP^2 has exactly three singular points.

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