and Infinite Series. 433 
room would be neceffary to fet down fo great a number 
of terms, and as the properties arifing from the feries 
in this cafe have already been noticed above. The 3 
roots of this equation have been found in Art. 60 to be 
- 2 and 1 ± v 7 3. 
no. Ex. 6. In the equation x 3 - gx = — 10, we 
"have a — — b — - 5, and c 2 = 25 - 27 = - 2, which 
being negative and lefs than b z , the general feries in Art. 
68, with the neceffary change of the figns, will give 
the 3 roots. Now - = — = — = *08, and ifib- — J/e, 
0 b z 25 IOO 5 V V 
alfo = -^-f. Hence 
3.6 ^ A 
11 • r - 
15 . 18^ ~ 
+ 
I 
0*0088889 
120 
5 
9 . I zfr 
17 . 20f 2 
2.1 • 2\b* 
B = 
D = 
•0002634 
7 
0 -* *0002641 
1*0089009 
0*0002641 
1*0086368 
2 
2*0172736 - - log. 0*3047649 
fi'b-fi's *** - - 0*2329900 
the greateft root = - 3*44948974 - s 0*5377549 
in. Then 
