0}} \right.\\ \left \{ {{2x^2-4x-16>0} \atop {x-2<0}} \right.\\\\ \\ 1)\\ 2x^2-4x-16>0\\ 2(x+2)(x-4)>0\\ ------------->\\ -2 \ \ \ \ 4\\ (-oo;-2)\ U\ (4;+oo)\\\\ 2)\\2x^2-4x-16<0\\ 2(x+2)(x-4)<0\\ (-2;4)\\
" alt="y=x^2-16ln(x-2)-32\\ y'=2x-\frac{16}{x-2}\\ y'=0\\ 2x-\frac{16}{x-2}<0\\ x \neq 2\\ \frac{2x^2-4x-16}{x-2}<0\\ \left \{ {{2x^2-4x-16<0} \atop {x-2>0}} \right.\\ \left \{ {{2x^2-4x-16>0} \atop {x-2<0}} \right.\\\\ \\ 1)\\ 2x^2-4x-16>0\\ 2(x+2)(x-4)>0\\ ------------->\\ -2 \ \ \ \ 4\\ (-oo;-2)\ U\ (4;+oo)\\\\ 2)\\2x^2-4x-16<0\\ 2(x+2)(x-4)<0\\ (-2;4)\\
" align="absmiddle" class="latex-formula">
объединяя со вторым неравенствами
