Решите уравнение

[tex] \frac{x}{5} + \frac{1}{x} =4
[/tex]

x/5 + 1/x = 4x != 0 - ОДЗ(x^2)/5 + 1 = 4x x^2 - 20x + 5 = 1 x1,2 = (20 +- sqrt(400 - 20))/2 x1,2 = (20 +- sqrt(380))/2 = (20 +- 2*sqrt(95))/2 = 10 +- sqrt(95) Ответ: x = 10 + sqrt(95), x = 10 - sqrt(95)