Question: Show that the surfaces x2 + 4y + z2 = 0 and x2 + y2 + z2 - 6z + 7 = 0 are tangent

Show that the surfaces x2 + 4y + z2 = 0 and x2 + y2 + z2 - 6z + 7 = 0 are tangent to each other at (0, -1, 2); that is, show that they have the same tangent plane at (0, -1, 2).

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