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}