Question

a+2/a=b+2/b ,unde a si b e R*.Calculari a^b

Answer 1

Aducand la acelasi numitor:
a^2+2b-ab^2-2a=0⇔ab(a-b)-2(a-b)=0⇔(a-b)(ab-2)=0
1)a-b=o⇒b=a,a≠0⇒a^b=a^a
2)ab-2=0⇒b=2/a,a≠0⇒a^b=a^(2/a)