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Plot[{Sqrt[d^2/2 - 1/4]-1/2, -Sqrt[d^2/2 - 1/4]-1/2},{d,-2,2}]
Plot[{Sqrt[d^2/2 - 1/4]-1/2, -Sqrt[d^2/2 - 1/4]-1/2},{d,-2,2}]
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