Ответ:

Объяснение:
0\\a^2-4(a-2)(2a+1)>0\\a^2-8a^2+12a+8>0\\7a^2-12a-8\\a\in\left(\dfrac{6-2\sqrt{23}}{7};\;\dfrac{6+2\sqrt{23}}{7}\right)" alt="(2a+1)x^2-ax+a-2=0\\D=a^2-4(a-2)(2a+1)>0\\a^2-4(a-2)(2a+1)>0\\a^2-8a^2+12a+8>0\\7a^2-12a-8\\a\in\left(\dfrac{6-2\sqrt{23}}{7};\;\dfrac{6+2\sqrt{23}}{7}\right)" align="absmiddle" class="latex-formula">
Задание выполнено!