This example illustrates why you should prove with results of solve command.

You solve this equation: (x-1)^3/(x^2-1)=0 by Maple 9.5 > solve( (x-1)^3 / (x^2-1),x);           [1,1]

Maple 9.5 and earlier gets the result [1,1], it is not correct but the result of Maple 10 is correct - no roots. This is the reason why you have to prove results.

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