Question

Решить уравнение на фото

Answer 1

$frac{4x - 4}{x} + frac{ {x}^{2} + 4 }{x(x + 1)} = frac{6 + x}{x + 1} \ (4x - 4)(x + 1) + \ {x}^{2} + 4 = x(6 + x)$
${4x}^{2} + 4x - 4x - 4 + {x}^{2} + 4 \ = 6x + {x}^{2} \ {5x}^{2} - 6x - {x}^{2} = 0$
${4x}^{2} - 6x = 0 \ 2x(2x - 3) = 0 \ 2x = 0 \ x = 0$
$2x - 3 = 0 \ 2x = 3 \ x = 3 div 2 = 1.5$