Explicație pas cu pas:
[tex]x = \frac{y}{4} \iff y = 4x \\ [/tex]
[tex]m_{g} = \sqrt{xy} = \sqrt{x \cdot 4x } = \sqrt{4 {x}^{2}} \\ \sqrt{4 {x}^{2}} = \sqrt{6} \iff 4 {x}^{2} = 6 \iff {x}^{2} = \frac{3}{2} \\ x = \frac{ \sqrt{6} }{2} \implies y = 2 \sqrt{6} \\ x = - \frac{ \sqrt{6} }{2} \implies y = - 2 \sqrt{6} [/tex]
