Question: The equation x2 xy + y2 = 3 represents a rotated ellipse, which means the axes of the ellipse are not parallel to the coordinate

  1. The equation x2 xy + y2 = 3 represents a "rotated" ellipse, which means the axes of the ellipse are not parallel to the coordinate axes (feel free to graph the ellipse on wolframalpha to get a picture). Find the points where the ellipse crosses the x-axis, and show that the tangent lines at these points are parallel.

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