Задание

Решите неравенство \(\dfrac{2\log_{x-x^2+20}{(x+4)}}{\log_{5-x}{(x-x^2+20)}}\leqslant\dfrac{1}{2}\).

\(\left(-\infty;\dfrac{1-\sqrt{77}}{2}\right)\cup\left(\dfrac{1-\sqrt{77}}{2};4\right)\cup\left(4;\dfrac{1+\sqrt{77}}{2}\right)\cup\left(\dfrac{1+\sqrt{77}}{2};5\right)\)

\(\left(-\infty;\dfrac{1-\sqrt{77}}{2}\right)\cup\left(\dfrac{1-\sqrt{77}}{2};4\right)\cup\left(4;\dfrac{1+\sqrt{77}}{2}\right)\cup\left(\dfrac{1+\sqrt{77}}{2};+\infty\right)\)

\(\left(-4;\dfrac{1-\sqrt{77}}{2}\right)\cup\left(\dfrac{1-\sqrt{77}}{2};4\right)\cup\left(4;\dfrac{1+\sqrt{77}}{2}\right)\cup\left(\dfrac{1+\sqrt{77}}{2};5\right)\)

\(\left(-4;\dfrac{1-\sqrt{77}}{2}\right)\cup\left(\dfrac{1-\sqrt{77}}{2};4\right)\cup\left(4;\dfrac{1+\sqrt{77}}{2}\right)\cup\left(\dfrac{1+\sqrt{77}}{2};+\infty\right)\)