[tex]a) \frac{x}{2} = \frac{8}{x} = > {x}^{2} = 16 = > x = \sqrt{16} = 4[/tex]
**peste tot inmultesti pe diagonala
[tex]b) \frac{6}{x} = \frac{x}{4} = > {x}^{2} = 24 = > x = \sqrt{24} = 2 \sqrt{6} [/tex]
[tex]c) \frac{2x}{7} = \frac{8}{7x } [/tex]
[tex]14 {x}^{2} = 56 \\ {x}^{2} = \frac{56}{14} = > {x}^{2} = 4 [/tex]
x=2
[tex]d) \frac{3}{4x } = \frac{3x}{4} [/tex]
[tex]12x ^{2} = 12[/tex]
[tex] {x}^{2} = 1[/tex]
[tex]x = 1[/tex]
[tex]e) \frac{9x}{5} = \frac{5}{x} [/tex]
[tex]9 {x}^{2} = 25[/tex]
[tex]x ^{2} = \frac{25}{9} [/tex]
[tex]x = \frac{5}{3} [/tex]
[tex]f) \frac{7 x}{6} = \frac{4}{3x} [/tex]
[tex]21 {x}^{2} = 24[/tex]
[tex] {x}^{2} = \frac{24}{21} [/tex]
[tex] {x}^{2} = \frac{8}{7} [/tex]
[tex]x = \frac{2 \sqrt{2} }{ \sqrt{7} } [/tex]
**rationalizezi
[tex]x = \frac{2 \sqrt{14} }{7} [/tex]
