Question

Решите уравнение
х - 1/х = 6 целых 6/7

Answer 1

$x - frac{1}{x} = 6 frac{6}{7}$

$x - frac{1}{x} = frac{48}{7} / *x$

$x^2 - 1 = frac{48}{7}x / *7$

$7x^2 - 7 = 48 7x^2 - 7 - 48 = 0 7x^2 = 48 + 7 7x^2 = 52 x^2 = frac{52}{7}$