Question

Пожалуйста помогите )))))

Answer 1

$\delta \leq 5\; \; \Rightarrow \; \; (\delta -5)\leq 0\; \; i\; \; \; (5-\delta )\geq 0\; \; \to \; \; |5-\delta |=5-\delta \; ;\\\\\\\sqrt[5]{32(\delta -5)^5}-\frac{\sqrt[4]{(-2)^4(5-\delta)^4}}{\sqrt{25-10\delta +\delta ^2}}+\Big (\frac{\delta +5}{\delta ^2-25}\Big )^{-1}=\\\\=2(\delta -5)-\frac{|-2|\cdot |5-\delta |}{\sqrt{(5-\delta )^2}}+\frac{(\delta -5)(\delta +5)}{\delta +5}=\\\\=2\delta -10-\frac{2\cdot |5-\delta |}{|5-\delta |}+\delta -5=2\delta -10-2+\delta -5=3\delta -17$