1.

Let x, y, z be positive reals. Which of the following implies x = y = z?(I) x3 + y3 + z3 = 3xyz(II) x3 + y2 z + yz2 = 3xyz(III) x3 + y2 z + z2 x = 3xyz(IV) (x + y + z)3 = 27xyz

Answer»

Let x, y, z be positive reals. Which of the following implies x = y = z?


(I) x3 + y3 + z3 = 3xyz


(II) x3 + y2 z + yz2 = 3xyz


(III) x3 + y2 z + z2 x = 3xyz


(IV) (x + y + z)3 = 27xyz





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