Question

Х-2/х+3-30/х^2-9=1/6

Answer 1

$frac{x-2}{x+3}-frac{30}{x^2-9}=frac16\O.D.3.:\begin{cases}x+3neq0\x^2-9neq0end{cases}Rightarrowbegin{cases}x+3neq0\(x-3)(x+3)neq0end{cases}Rightarrowbegin{cases}xneq-3\xneq3end{cases}\\frac{x-2}{x+3}-frac{30}{(x+3)(x-3)}=frac16\frac{(x-2)(x-3)-30}{x^2-9}=frac16\frac{x^2-5x-24}{x^2-9}\6x^2-30x-144=x^2-9\5x^2-30x-135=0;;;div5\x^2-6x-27=0\D=36+4cdot27=144=(12)^2\x_{1,2}=frac{6pm12}2\x_1=-3;-;He;nogx.;no;O.D.3.\x_2=9\OTBET:;9$

Answer 2

Х-2/Х+3-30/х•2-9=1/6
9