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Positive real numbers x and y are such that x^2 - 2x + 4y^2 = 0. Find the maximum value of xy?

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Positive real numbers x and y are such that x^2 - 2x + 4y^2 = 0. Find the maximum value of xy?
posted Dec 5, 2018 by anonymous
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x, y, z are 3 nonzero positive int such that x+y+z = 8 and xy+yz+zx = 20, then what will be minimum value of x*y^2*z^2

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x, y, z are 3 non zero positive integers such that x+y+z = 8 and xy+yz+zx = 20,
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