SOLUTION: solve 2/(x-3)squared = 1 - 1/x-3

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Question 453765: solve 2/(x-3)squared = 1 - 1/x-3
Answer by mananth(16946) About Me  (Show Source):
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+2%2F%28x-3%29%5E2+=1-+%281%2F%28x-3%29%29
+2%2F%28x-3%29%5E2+%2B%281%2F%28x-3%29%29=1
LCD = %28x-3%29%5E2

+%28+2%2Bx-3%29%2F%28x-3%29%5E2=+1
%28x-1%29%2F%28x-3%29%5E2=1
%28x-1%29+=+%28x-3%29%5E2
x-1=x^2-6x+9
x^2-7x+10=0
x^2-5x-2x+10=0
x(x-5)-2(x-5)=0
(x-2)(x-5)=0
x= 2 OR 5