Question

$\sqrt x^{2}+2=3\sqrt{3}$
Rezolvati in multimea numerelor reale ecuatia va rog ,ajutati-ma

Answer 1

V(x^2+2) = 3V3 ridici totul la puterea a2

[V(x^2+2)]^2 = (3V3)^2

x^2+2 = 9×3

(un radical ridicat la puterea a 2 se simplifica)

x^2+2 = 27

x^2= 27-2

x^2 = 25

x=V25

x1= 5

x2 = -5

Answer 2

$\it\sqrt{x^2+2}=3\sqrt3\Rightarrow\ \sqrt{x^2+2}=\sqrt{27}\Rightarrow\ x^2+2=27\Rightarrow\ x^2=25\Rightarrow\ x=\pm5$