Răspuns :

Explicație pas cu pas:

[tex] {x}^{2} - 2 = \frac{6}{5} \\ {x}^{2} = \frac{6}{5} + 2 \\ {x}^{2} = \frac{6 + 10}{5} \\ {x}^{2} = \frac{16}{5} \\ x = \frac{4 \sqrt{5} }{5} \\ x = - \frac{4 \sqrt{5} }{5} [/tex]

[tex]\it x^2-2=\dfrac{6}{5} \Rightarrow x^2=\dfrac{6}{5}+2\Rightarrow x^2=\dfrac{16}{5}\Rightarrow \sqrt{x^2}=\sqrt{\dfrac{16}{5}}\Rightarrow |x|=\dfrac{^{\sqrt5)}4}{\ \sqrt5}\Rightarrow \\ \\ \\ \Rightarrow |x|=\dfrac{4\sqrt5}{5}\Rightarrow x=\pm\dfrac{4\sqrt5}{5}[/tex]