La grange

[Loyalweon]

Hello I really want to know how to complete this lagrange problem please if anyone could help it would be awesome.
Using Lagrange parameters find the coordinates of vertices A and A' of the major axis of the equation ellipse:
x + y + z = 12
x^2 + y^2 - z = 0


Determine, based on the information obtained, the coordinates of the axis vertices
minor B and B '
, as well as the lengths of the semimajor axis a and the minor semiaxis
b.

 

[Deleted member 4993]

Hello I really want to know how to complete this lagrange problem please if anyone could help it would be awesome.
Using Lagrange parameters find the coordinates of vertices A and A' of the major axis of the equation ellipse:
x + y + z = 12
x^2 + y^2 - z = 0


Determine, based on the information obtained, the coordinates of the axis vertices
minor B and B '
, as well as the lengths of the semimajor axis a and the minor semiaxis
b.

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[tkhunny]

Please define some LaGrange Parameters and demonstrate your attempt at a solution.