Question

4/x-13+13/x-4=2 Решить уравнение.

Answer 1

$\frac{4}{x-13} + \frac{13}{x-4} =2$
$\frac{4x-16+13x-169}{(x-13)(x-4)} =2$$\frac{17x-185}{(x-13)(x-4)} = \frac{2*(x-13)(x-4)}{(x-13)(x-4)}$
$x \neq 13$
$x \neq 4$

$17x-185=2 x^{2} -34x+104$
$2 x^{2} -51x+289=0$
D=2601-2312=289
x1=17
x2=8.5