Using componendo and dividendo, find value of x : (3x + 4)^(1/2) + (3x - 5)^(1/2)\(3x + 4)^(1/2) - (3x - 5)^(1/2) = 9.

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If x and y both are positive and (2x² - 5y²) : xy = 1 : 3, find x : y.