Tension in a hanging chain

A uniform chain of length \(L=3~\mbox{m}\) is suspended from two points \(P_{1}\) and \(P_{2}\) at the same level. Due to the chain's weight, its tension varies from point to point. If the tension at the endpoints of the chain is \(n=7\) times greater than the tension at the lowest point, find the distance \(d={P_{1}P_{2}}\) in meters between the points of suspension \(P_{1}\) and \(P_{2}\).

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