حل y=1/x-3+1/x^2=11/4

$$y = \frac { 1 } { x - 3 } + \frac { 1 } { x ^ { 2 } } = 1 \frac { 1 } { 4 }$$

برای y حل کنید

$$\left\{\begin{matrix}y=\frac{15\left(\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})+13\right)\left(106\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})+1684\left(\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})\right)^{2}-29\right)\times \left(\frac{2\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})-19}{1684\left(\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})\right)^{2}-361}\right)^{2}}{2\left(421\left(\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})\right)^{2}-169\right)}\text{, }&x=\frac{2\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})+19}{15}\\y=-\frac{15\left(421\sqrt{3}\sin(\frac{2\arccos(\frac{4519\sqrt{421}}{177241})}{3})-53\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})-53\sqrt{1263}\sin(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})+421\left(\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})\right)^{2}+1263\left(\sin(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})\right)^{2}-29\right)}{\left(-\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})-\sqrt{1263}\sin(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})+19\right)^{2}\left(\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})+\sqrt{1263}\sin(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})+26\right)}\text{, }&x=\frac{2\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})+2\pi }{3})+19}{15}\\y=\frac{15\left(53\sqrt{1263}\sin(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})-53\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})-421\sqrt{3}\sin(\frac{2\arccos(\frac{4519\sqrt{421}}{177241})}{3})+421\left(\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})\right)^{2}+1263\left(\sin(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})\right)^{2}-29\right)}{\left(\sqrt{1263}\sin(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})-\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})-26\right)\left(\sqrt{1263}\sin(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})-\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})}{3})+19\right)^{2}}\text{, }&x=\frac{2\sqrt{421}\cos(\frac{\arccos(\frac{4519\sqrt{421}}{177241})+4\pi }{3})+19}{15}\end{matrix}\right.$$