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Ques: x - 1/x = root 3; or, (x^2 - 1)/x = root 3; or, x^2 - 1 = root 3x; or, x^2 - root 3x = 1. Proved.
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Ques: x - 1/x = root 3; or, (x^2 - 1)/x = root 3; or, x^2 - 1 = root 3x; or, x^2 - root 3x = 1. Proved.