Lagrange Multiplier question -
How does one solve for their lamba (or even just get the x,y,z etc straight away) when the constraint has higher powers and variables multiplying each other?
Example - x^2 + y^2 subject to 17x^2 + 12 xy + 8y^2 = 100
When solving, I end up with a non-linear system, and don't know how to go on.

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3equations and 4unknows^

which is the fourth?

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