{l}{1109484=10/(1+0.05)^{0.5}+10/(1+0.07)^{1}+10/(1+x)^{15}+110/(1+y)^{2}}{128.6155=frac{15}{(1+0.05)^0.5}+frac{15}{(1+0.07)^1}+frac{15}{(1+x)^15}+frac{115}{(1+y)^2}}-ஐ தீர்க்கவும்

$$\left. \begin{array} { l } { 1109484 = \frac { 10 } { ( 1 + 0.05 ) ^ { 0.5 } } + \frac { 10 } { ( 1 + 0.07 ) ^ { 1 } } + \frac { 10 } { ( 1 + x ) ^ { 15 } } + \frac { 110 } { ( 1 + y ) ^ { 2 } } } \\ { 128.6155 = \frac { 15 } { ( 1 + 0.05 ) ^ { 0.5 } } + \frac { 15 } { ( 1 + 0.07 ) ^ { 1 } } + \frac { 15 } { ( 1 + x ) ^ { 15 } } + \frac { 115 } { ( 1 + y ) ^ { 2 } } } \end{array} \right.$$

x, y-க்காகத் தீர்க்கவும் (சிக்கலான தீர்வு)

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.573468809+0.090662003i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.573468809+0.090662003i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\pi }{5}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.647219926+0.256309726i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\pi }{5}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.647219926+0.256309726i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\pi }{3}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.781969924+0.377639169i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\pi }{3}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.781969924+0.377639169i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 7\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.954419302+0.433671369i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 7\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.954419302+0.433671369i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 3\pi }{5}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.134749998+0.414717849i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 3\pi }{5}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.134749998+0.414717849i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 11\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.291781194+0.324055846i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 11\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.291781194+0.324055846i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 13\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.398360771+0.177361642i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 13\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.398360771+0.177361642i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=-\frac{156527797108280408534066149^{\frac{14}{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.436060152\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=-\frac{156527797108280408534066149^{\frac{14}{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.436060152\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 17\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.398360771-0.177361642i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 17\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.398360771-0.177361642i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 19\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.291781194-0.324055846i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 19\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.291781194-0.324055846i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 7\pi }{5}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.134749998-0.414717849i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 7\pi }{5}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -1.134749998-0.414717849i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 23\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.954419302-0.433671369i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 23\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.954419302-0.433671369i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 5\pi }{3}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.781969924-0.377639169i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 5\pi }{3}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.781969924-0.377639169i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 9\pi }{5}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.647219926-0.256309726i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 9\pi }{5}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.647219926-0.256309726i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 29\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.573468809-0.090662003i\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}e^{\frac{i\times 29\pi }{15}}\sqrt[15]{613464112491491100000-228980000000000\sqrt{105}}}{156527797108280408534066149}-1\approx -0.573468809-0.090662003i\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

x, y-க்காகத் தீர்க்கவும்

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}\sqrt[15]{228980000000000\sqrt{105}-613464112491491100000}}{156527797108280408534066149}-1\approx -1.436060152\text{, }y=-\frac{100\sqrt{33281947690}}{3328194769}-1\approx -1.005481452$$

$$x=\frac{156527797108280408534066149^{\frac{14}{15}}\sqrt[15]{228980000000000\sqrt{105}-613464112491491100000}}{156527797108280408534066149}-1\approx -1.436060152\text{, }y=\frac{100\sqrt{33281947690}}{3328194769}-1\approx -0.994518548$$