Question: If u = ax^2 + by^2 + cz^2 where x^2 + y^2 + z^2 = 1 and lx + my + nz = 0

If u = ax^2 + by^2 + cz^2 where x^2 + y^2 + z^2 = 1 and lx + my + nz = 0 prove that stationary values of 'u' satisfy the equation l^2/ a-u + m^2/b-u + n^2/c-u =0.
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