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a fost răspuns

Stiind ca x-1supra x=3, x ∈ R, calculati x²+1supra x²

Răspuns :

(x-1)/x=3
x-1=3x
x-3x=1
-2x=1                (-1)
x=-1/2
(x²+1)/x²=[(-1/2)²+1]/(-1/2)²=(1/4+1)/1/4=5/4·4/1=5
MFM
(x-1/x)^2=9. x^2-2x/x+1/x^2=9. x^2+1/x^2=9+2=11

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