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Question Number 123426 by MJS_new last updated on 25/Nov/20

$$\mathrm{find}\mathrm{the}\mathrm{radii}\mathrm{of}\mathrm{all}\mathrm{circles}\mathrm{with}\mathrm{center}C$$$$\mathrm{tangenting}\mathrm{the}\mathrm{curve}h$$$$C=\left(\begin{array}{c}5\\ 1\end{array}\right)$$$$h:x^2-y^2=1$$

Commented by ajfour last updated on 25/Nov/20

$$YesSirfourcircles,thanks!$$

Commented by ajfour last updated on 25/Nov/20

Commented by MJS_new last updated on 25/Nov/20

$$\mathrm{I}\mathrm{get}4.\mathrm{your}green\mathrm{circle}\mathrm{represents}2\mathrm{very}$$$$\mathrm{close}\mathrm{together}$$

Commented by MJS_new last updated on 25/Nov/20

$$\mathrm{I}\mathrm{get}$$$$r_1\approx 2.70949170$$$$r_2\approx 4.05595543$$$$r_3\approx 4.16548440$$$$r_4\approx 6.07096532$$$$\mathrm{they}\mathrm{are}\mathrm{the}\mathrm{positive}\mathrm{solutions}\mathrm{of}$$$$r^8-78r^6+2050r^4-21762r^2+77234=0$$

Commented by MJS_new last updated on 25/Nov/20

$$\mathrm{sorry},\mathrm{corrected}.{\mathrm{it}}^{\prime }\mathrm{s}‘‘{\mathrm{green}}^{″}\mathrm{not}‘‘{\mathrm{yellow}}^{″}$$

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