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1 + {1/[(1/2) + (1/2x)]} = 2
comencemos por esta:
(1/2) + (1/2x) = (x + 1)/2x
así que:
1 + {1/[(x + 1)/2x]} = 2
simplificando:
1/[(x + 1)/2x]
= 2x/(x + 1)
por lo tanto:
1 + {1/[(x + 1)/2x]} = 2
1 + [2x/(x + 1)] = 2
simplificando:
[(x + 1) + 2x]/(x + 1) = 2
(x + 1) + 2x = 2(x+ 1)
3x + 1 = 2x + 2
x = 1
1+1/{(1+x)/2x}=2
1+2x/(1+x)=2
1+x+2x=2(1+x)
1+3x=2+2x
3x-2x=2-1
x=1