Find the maximum and minimum values of f subject to the given constraints. Use a computer algebra

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Find the maximum and minimum values of f subject to the given constraints. Use a computer algebra system to solve the system of equations that arises in using Lagrange multipliers.
(If your CAS finds only one solution, you may need to use additional commands.)
f (x, y, z) = x + y + z; x2 - y2 = z, x2 + z2 = 4

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