Question Number 41958 by 123456780 last updated on 15/Aug/18
$$\begin{cases}{\mathrm{x}^{\sqrt{\mathrm{y}}} +\mathrm{y}^{\sqrt{\mathrm{x}}} =\frac{\mathrm{49}}{\mathrm{48}}}\\{\sqrt{\mathrm{x}}+\sqrt{\mathrm{y}}=\frac{\mathrm{7}}{\mathrm{2}}}\end{cases} \\ $$$$\mathrm{find}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y} \\ $$$$\mathrm{k}.\mathrm{k} \\ $$
Answered by MJS last updated on 16/Aug/18
$$\mathrm{solved}\:\mathrm{by}\:\mathrm{approximation}\:\mathrm{with}\:\mathrm{a}\:\mathrm{simple} \\ $$$$\mathrm{TI}−\mathrm{30}\:\mathrm{calculator}: \\ $$$${x}=\mathrm{6}.\mathrm{79808}×\mathrm{10}^{−\mathrm{5}} \\ $$$${y}=\mathrm{12}.\mathrm{1924} \\ $$