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9.5 Гіперболи
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\(\begin{aligned} x^{2}-2 x+1+(y-2)^{2} &=\frac{9}{4}\left(x^{2}-10 x+25\right) \\ x^{2}-2 x+1-\frac{9}{4} x^{2}+\frac{90}{4} x-\frac{225}{4}+(y-2)^{2} &=0\\-\frac{5}{4} x^{2}+\frac{92}{4} x+(y-2)^{2}... $\begin{aligned} x^{2}-2 x+1+(y-2)^{2} &=\frac{9}{4}\left(x^{2}-10 x+25\right) \\ x^{2}-2 x+1-\frac{9}{4} x^{2}+\frac{90}{4} x-\frac{225}{4}+(y-2)^{2} &=0\\-\frac{5}{4} x^{2}+\frac{92}{4} x+(y-2)^{2} &=\frac{221}{4}\\-5 x^{2}+92 x+4(y-2)^{2} &=221\\-5\left(x^{2}-\frac{92}{5} x\right)+4(y-2)^{2} &=221 \end{aligned}$