Question

$\frac{5}{x-1} -\frac{4}{x} =3$

Answer 1

$\frac{5}{x-1}-\frac{4}{x}=3;\\\frac{5x}{x(x-1)}-\frac{4(x-1)}{x(x-1)}-\frac{3x(x-1)}{x(x-1)} =0\\\frac{5x-4x+4-3x^2+3x}{x(x-1)}=0\\\frac{3x^2-4x-4}{x(x-1)}=0\\D=16+48=8^2\\\frac{(x-(\frac{4б8}{6} ))}{x(x-1)}=0\\\frac{(x+2/3)(x-2)}{x(x-1)}=0x=\left[\begin{array}{ccc}-2/3\\2\\\end{array}$

Ответ: x={-2/3;2}