![\frac{\sqrt{2x+4}}{\sqrt{x^2-4}} \frac{\sqrt{2x+4}}{\sqrt{x^2-4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2x%2B4%7D%7D%7B%5Csqrt%7Bx%5E2-4%7D%7D)
ОДЗ:
0}}\right." alt="\left\{{{2x+4\geq0}\atop{x^2-4>0}}\right." align="absmiddle" class="latex-formula">
0}}\right." alt="\left\{{{2x\geq-4}\atop{(x-2)(x+2)>0}}\right." align="absmiddle" class="latex-formula">
0}}\right." alt="\left\{{{x\geq-2}\atop{(x-2)(x+2)>0}}\right." align="absmiddle" class="latex-formula">
2}}\right." alt="\left\{{{x\geq-2}\atop{(x<-2;x>2}}\right." align="absmiddle" class="latex-formula">
Общее решение:
2" alt="x>2" align="absmiddle" class="latex-formula">
Ответ: х ∈ (2; +∞)