find-the-radii-of-all-circles-with-center-C-tangenting-the-curve-h-C-5-1-h-x-2-y-2-1-

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

find the radii of all circles with center C

tangenting the curve h

C = (\begin{matrix} 5 \\ 1 \end{matrix})

h : x^{2} - y^{2} = 1

Commented by ajfour last updated on 25/Nov/20

Y e s S i r f o u r c i r c l e s, t h a n k s!

Commented by ajfour last updated on 25/Nov/20

Commented by MJS_new last updated on 25/Nov/20

I get 4 . your g r e e n circle represents 2 very

close together

Commented by MJS_new last updated on 25/Nov/20

I get

r_{1} \approx 2.70949170

r_{2} \approx 4.05595543

r_{3} \approx 4.16548440

r_{4} \approx 6.07096532

they are the positive solutions of

r^{8} - 78 r^{6} + 2050 r^{4} - 21762 r^{2} + 77234 = 0

Commented by MJS_new last updated on 25/Nov/20

sorry, corrected . {it}^{'} s “ {green}^{″} not “ {yellow}^{″}

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