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sa se rezolve in r ecuatia (x^2+1/x)+(x/x^2+1)=5/2

Răspuns :


(x^2+1/x)+(x/x^2+1)=5/2
x^3+x+2/x=5/2
x^3+x+2=5/2x
x^3+x+25/2x=5/2x5/2x
x^3+−3/2x+2=0
x=1.647427