and Infinite Series, 
them the roots of the equations already treated of in 
Art. 56, Sec. 
100. And firft in the equation a; 3 - 36 a; = gx. Here 
p - - 36; <7 = 91, <2 = - 1 2, b = 45 j, c 1 = b z + al 
— 45J] — 12 5 = 342^, which being positive and lefs 
than b 1 , this cafe belongs to the feries 
i</b x : x d£_i L i l : 86 . _ , _ foe. j n Art. gg 
3.6^ 3 . 6 . 9»i2 b* 
Now C ti = -if] 2 = *1653182. Then 
* 2 8281 91 
a = 
2C 
B - rrr A 
3 . 6 ^ 
c .8c 2 
C = n B = - 
9 ,12b 
+ 1*0000000 
= - *0183687 
11247 
1 1 . 14c" 
B -= — C = — 
15 . 18 ^ 
17 . 20 C* 2 
E = 77 D = - 
21 . 24^ 
23 . 26 1* 2 
F = — - E - - 
27 . joi 
20 . 2 2 c* 2 
G = F = ~ 
33 • 3 6 * 
fum of the terms = 
io 6 e 
1 18 
14 
1 
9803871 
2 
1*9607742 - log. 0-292427S 
s/b — iy 45*5 0*5526705 
hence the only real root is 7 - - - 0*8450980 
Vol. LXX. 
L 1 1 
That 
