The curve $y ^ { 2 } - x ^ { 2 } y - 6 = 0$ has two tangents at x = 1. What are their equations?

Name: The curve $y ^ { 2 } - x ^ { 2 } y - 6 = 0$ has two tangents at x = 1. What are their equations?
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The Answer of The curve $y ^ { 2 } - x ^ { 2 } y - 6 = 0$ has two tangents at x = 1. What are their equations?

The Curve y2−x2y−6=0y ^ { 2 } - x ^ { 2 } y - 6 = 0y2−x2y−6=0

The Curve $y ^ { 2 } - x ^ { 2 } y - 6 = 0$