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Stiind ca x=√3 si y
[tex] \frac{1}{√3}
[/tex] aratati ca [tex] \frac{x}{y}

[/tex] + [tex] \frac{y}{x}

[/tex] =10 Va rog sa ma ajutati dau funda


Răspuns :

x=√3
y=1/√3
x/y=(√3)/(1/√3)=(√3×√3)/1=3.
y/x=(1/√3)/√3=(1/√3)×(1/√3)=1/3.
3+ 1/3=9/3+1/3=10/3


x = √3,   y = 1/√3

x/y = x·(1/y) = √3·√3 = 3

Dacă x/y = 3, atunci y/x = 1/3

x/y + y/x = 3 + 1/3 = 10/3.