1. The problem statement, all variables and given/known data Describe the shape of each level curve for the following function: z= (5x^2+y^2)^.5-2x 2. Relevant equations I would like to prove that the curves are elliptical by setting z as a constnat and algebraically putting the equation in standard for for an ellipse Ax^2+By^2=R^2 3. The attempt at a solution After squaring both sides, I get to: z^2+4xz=x^2+y^2 I do not know how to isolate the z on one side from there. Any suggestions? I feel like this is a really obvious algebra trick that I am forgetting. Thank you very much for any help.