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Let a, b, c be positive real numbers. Th...

Let a, b, c be positive real numbers. The following system of equations in x,y and z
`(x^(2))/(a^(2)) = (y^(2))/(b^(2)) - (z^(2))/(c^(2)) = 1, (x^(2))/(a^(2)) - (y^(2))/(b^(2)) + (z^(2))/(c^(2)) = 1, - (x^(2))/(a^(2)) + (y^(2))/(b^(2)) + (z^(2))/(c^(2)) = 1` has

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