Question Number 182999 by Shrinava last updated on 18/Dec/22
$$\sqrt{\mathrm{m}^{\mathrm{2}} −\mathrm{4m}+\mathrm{4}}\:+\:\sqrt[{\mathrm{4}}]{\mathrm{m}−\mathrm{2n}+\mathrm{8}}\:=\:\mathrm{0} \\ $$$$\mathrm{n}\:=\:? \\ $$
Answered by cortano1 last updated on 18/Dec/22
$$\:\mid{m}−\mathrm{2}\mid\:+\sqrt[{\mathrm{4}}]{{m}−\mathrm{2}{n}+\mathrm{8}}\:=\:\mathrm{0} \\ $$$$\:\begin{cases}{{m}=\mathrm{2}}\\{\sqrt[{\mathrm{4}}]{\mathrm{10}−\mathrm{2}{n}}\:=\:\mathrm{0}\:\Rightarrow{n}=\mathrm{5}\:}\end{cases} \\ $$