👤

Rezolvati in multimea numerelor reale ecuatia sqrt(x)+sqrt(9-x)=3

Răspuns :

C.e. x≥0 si x≤9

Deci x∈[0;9]
√x+ √(9-x) =3
x+9-x +2√(x(9-x))=9
2√(x(9-x)=0
√x(9-x)=0
x(9-x)=0
x1=0
x2=9
 ambele valori verifica ecuatia