33. Find the ...

Question

33. Find the non zero real numbers that satisfies the equation in terms of XYZ

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x, y, z

(x^{2} + x y + y^{2}) (y^{2} + y z + z^{2}) (z^{2} + z x + x^{2}) = x y z

(x^{4} + x^{2} y^{2} + y^{4}) (y^{4} + y^{2} z^{2} + z^{4}) (z^{4} + z^{2} x^{2} + x^{4}) = x^{3} y^{3} z^{3}

x

a r c sin x = a r c cos (2 x)

x y (x^{2} - y^{2}) = x^{2} + y^{2}

x^{2} + y^{2}

z^{3} + 2 z^{2} + 3 z + 2 = 0

S

α

α x^{2} - x + α = 0

x_{1}

x_{2}

| x_{1} - x_{2} | < 1.

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