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1/2x +1/3x +1/6x-1x ,x€Q*

Răspuns :

Poza conține rezolvarea.

Vezi imaginea Augustindevian

1 / 2 x + 1 / 3 x + 1 / 6 x - 1 x = → le aduc la acelasi numitor comun 6 x

= 3 / 6 x + 2 / 6 x + 1 / 6 x - 6 x² / 6 x =

= ( 6 - 6 x² ) 6 x =

= 6 ( 1 - x² ) / 6 x =

= ( 1 - x² ) / x =

= ( 1 - x ) ( 1 + x ) / x

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1 / 2 x + 1 / 3 x + 1 / 6 x - 1 / x =

3 / 6 x + 2 / 6 x + 1 / 6 x - 6 / 6 x =

= ( 6 - 6 ) / 6 x = 0 / 6 x = 0