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Rezolvati ecuatia (x²-2)*3=2


* =compus


Răspuns :

Răspuns:

[tex]\bf{ x = \pm \: \frac{2 \sqrt{6} }{3} }[/tex]

Explicație pas cu pas:

[tex]\mathbf{(x {}^{2} - 2) \times 3 = 2}[/tex]

[tex]\mathbf{ {3x}^{2} - 2 \times 3 = 2 }[/tex]

[tex]\mathbf{3x {}^{2} - 6 = 2 \Longleftrightarrow3x {}^{2} = 2 + 6 = 8 }[/tex]

[tex]\mathbf{x {}^{2} = \frac{8}{3} \: \Longrightarrow \: x =\pm \sqrt{ \frac{8}{3} } = \pm \frac{2 \sqrt{6} }{3} }[/tex]

[tex]\boxed{ \bf{ S = \left\{ - \frac{2 \sqrt{6} }{3} ; \: \frac{2 \sqrt{6} }{3} \right\}}}[/tex]

Bafta ! :)