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Rezolvati in multimea nr reale ecuatia : √2[tex] x^{2} [/tex]+1=1

Răspuns :

[tex] \sqrt{2} x^2+1=1 \\ \sqrt{2} x^2=1-1 \to \sqrt{2} x^2=0 \to x^2=0* \sqrt{2} \to x^2=0 \to x= \sqrt{0} \\ \boxed{ \boxed{x=0}} [/tex]

0∈lR⇒x∈lR