need help

(x - 1)^3 - (x - 1)^2 = 0

Its really frustrating, please help.

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- Oct 20th 2008, 06:58 PMalgIImultiple roots
need help

(x - 1)^3 - (x - 1)^2 = 0

Its really frustrating, please help. - Oct 20th 2008, 09:39 PMTony2710
A common factor is $\displaystyle (x-1)^2$. You can therefore rewrite the equations as:

$\displaystyle (x-1)^2(x-1+1)=(x-1)^2x=0$

You should see that the solution has 2 distinct roots, with one repeated. - Oct 20th 2008, 09:46 PMchiph588@
it should be $\displaystyle (x-1)^3-(x-1)^2 = (x-1)^2(x-1-1) = (x-1)^2(x-2) = 0 $

but yes there is a repeated root