Question

Дробные рациональные уравнения (x-4)/x=(2x+10)/(x+4)

Answer 1

$\frac{x-4}{x}=\frac{2x+10}{x+4}\\ \left \{ {{(x-4)(x+4)=2x(x+5)} \atop {x \neq 0,\ and\ x \neq -4}} \right. ; \left \{ {{x^2-16=2x^2+10x} \atop {x \neq 0,\ and\ x \neq -4}} \right. ; \left \{ {{x^2+10x+16=0} \atop {x \neq 0,\ and\ x \neq -4}} \right. ;\\ \left \{ {{x=-8,\ or\ x=-2} \atop {x \neq 0,\ and\ x \neq -4}} \right. ;\\ x=-8\ or\ x=-2$