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Daca 2/x+3/y=8. Calculati x+2/x+y+3/y.

Daca 2x3y8 Calculati X2xy3y class=

Răspuns :

[tex] \frac{2}{x} + \frac{3}{y}=8 \\ 2y+3x=8xy \\ \frac{x+2}{x}+ \frac{y+3}{y} = \frac{2xy+2y+3x}{xy} = \frac{2xy+8xy }{xy} = \frac{10xy}{xy}=10 [/tex]