Question

3/2(x-2)-5/x+3=2/x-2

Answer 1

Respuesta:

$x=\frac{17}{11}$

Explicación paso a paso:

3/2(x-2)-5/x+3=2/x-2

$\frac{3}{2(x-2)} - \frac{5}{x+3} = \frac{2}{x-2}$

$\frac{3}{2(x-2)} - \frac{5}{x+3} -\frac{2}{x-2}=0$

$\frac{3(x+3)-10(x-2)-4(x+3)}{2(x-2)(x+3)} = 0$

$\frac{3x+9)-10x+20)-4x-12)}{2(x-2)(x+3)}= 0$

$\frac{-11x+17}{2(x-2)(x+3)}= 0$

$-11x+17=0$

$-11x=-17$

$11x = 17$

$x=\frac{17}{11}$

Answer 2

$\huge\color{Red}\underline{\colorbox{Res}{Hola}}$

$\mathrm{Problema}$

$\frac{3}{2} (x - 2) - \frac{5}{x} + 3 = \frac{2}{x} - 2$

$\mathrm{Respuesta}$

$\frac{x}{} 1 = \frac{ - 2 - \sqrt{46} }{3} . \frac{x}{} 2 = \frac{ - 2 + \sqrt{46} }{3}$

$\huge\color{Aqua}\underline{\colorbox{Res}{♡XxJosuexX♡}}$