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Tangents to the Curve y2=xy^{2}=x Intersect on The xx -Axis the Angle Between Them Is

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Tangents to the curve y2=xy^{2}=x intersect on the xx -axis. The angle between them is 28.07228.072^{\circ} . Find the points where the tangents intersect the curve and where they intersect each other.

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