Question: Find a point on the surface z=x^2 + 2xy + 2y^2 + 16 at which the tangent plane to the surface contains the x-axis. That

Find a point on the surface z=x^2 + 2xy + 2y^2 + 16 at which the tangent plane to the surface contains the x-axis. That is, find values x=a, y=b such that the tangent plane at (a, b, a^2+2ab + 2b^2 + 16) contains all points on the x-axis.

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