Question

х + 8 делить на х-10 =х-2 делить на х+4

Answer 1

$frac{x+8}{x-10} = frac{x-2}{x+4}$

ОДЗ: x≠10; -4

$frac{x+8}{x-10} -frac{x-2}{x+4}= 0$
$frac{(x+4)(x+8)-(x-10)(x-2)}{(x-10)(x+4)} = 0$
$frac{x^2+8x+4x+32-x^2+12x-20}{(x-10)(x+4)} = 0$
$24x=-12$
$x= -frac{1}{2}$