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Find all real numbers x and y such that x^2 + 2y^2 + 1/2 ≤ x(2y + 1)

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Find all real numbers x and y such that

x2 + 2y2 + 1/2 ≤ x(2y + 1)

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∴ x = 1

y = x/2 = 1/2

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