Udowodnij, że 0,(9) (9 w okresie) = 1
0,(9) = 1 ?
x=0,(9)10x=9,(9)10x-x=9,(9)-0,(9)9x=9x=1
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x=0,(9)
10x=9,(9)
10x-x=9,(9)-0,(9)
9x=9
x=1