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solve a^2 + 2b^2 = 1, 1/2 = (2ab + b^2) / sqrt(b^2 + (a + b)^2/2)
solve a^2 + 2b^2 = 1, 1/2 = (2ab + b^2) / sqrt(b^2 + (a + b)^2/2)
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