and Infinite Series. ^7- 
be founa, by both the forms of feries, like as in Ex. 5, 
Art. x 0 9 ; but the operation is here omitted for the fame 
reafons as were there given. The 3 roots of this equa- 
tion were, in Art. 63, found to be 2vA and - vA ±s/6. 
xi 7. Ex. 9. In the equation — 1 5 x = 2 2, we have 
a - 5 > b - 11, and c z — 121 — 1 25 = - 4, which 
being negative, and lefs than b % , the feries in Art. 68 
give thefe 3 roots : 
Greateft 
root 
The two 
lefs roots 
Here 
a = 
_ 2 C 
B ~ \ 
3 . 6 ** 
n - 
*5. i8t 2 
= i i x : i + 
v/i i x : i + 
2 c 
5.8 c"- 
Sec, 
2 \/ 3 
^I2i 
x : 
3 .6* a 
2 
3.6** 
AllA + 
3.6.9^ 3 .6.9. 12 .15^' c * 
3.6.9.12^ 
3 • 6 . 9 . 1 2 * 4 
where 
V _ _ 4 _ 
^ 121 
I’OOOOOOO 
36731 
8 
_ s . 8 c * _ 
“ 9. izb z B “ 
•OOOO45O 
+ i"OG36739 
— 0*000045© 
1*0036289 
2*0072578 
^11 
the greateft root = 4*4641 o 1 6 
M m m % 
log. 0*3026031 
- 0*3471309 
0*649734° 
1 18. Again, 
