if x+1/x=12 find x-1/x
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x+1/x=12
=>x+1=12x
=>1=11x
=>x=1/11
therefore,x-1/x=1/11-1/1/11
=1-11/11/1/11=-10/11/1/11
= -10
=>x+1=12x
=>1=11x
=>x=1/11
therefore,x-1/x=1/11-1/1/11
=1-11/11/1/11=-10/11/1/11
= -10
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