[tex] \frac{1}{2x} + 7 = x + 5 \\ amplificam \: cu \: numitorul \\ \: comun \: 2x \: si \: obtinem \: \\ \frac{1}{2x} + \frac{7 \times 2x}{2x} = \frac{x \times 2x}{2x +} + \frac{5 \times 2x}{2x} [/tex]
[tex]1 + 14x = {2x}^{2} + 10x[/tex]
[tex] {2x}^{2} - 4x - 1 = 0[/tex]
[tex]delta = { ( - 4) }^{2} - 4 \times 2 \times ( - 1)[/tex]
delta=16+8
delta=24