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Rezolvati in R ecuatia √2(x-1)+1=x

Răspuns :

rd2x-rd2+1=x       rd2x-x=rd2-1   x(rd2-1)=rd2-1
√2(x-1)+1-x=0
√2(x-1)-(x-1)=0
(x-1)(√2-1)=0
x-1=0  √2-1=0
x=1