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rezolvati in multimea numerelor reale ecuatia radical 3^2-x=1:9

Răspuns :

√(3^(2-x))=1/9
3^((2-x)/2)=1/3²=3^(-2)
3=3
deci
(2-x)/2=-2
2-x=-4
2+4=x
6=x
x=6


verificare

√(3^(2-6))=√(3^(-4))=√(1/3^4)=√1/√3^4=1/3²=1/9 adevarat, bine rezolvat