1883, ] 101 (Hagen. 
The latter admits of being resolved in the following way : 
B,* — 4 B,? — 25 B, -+ 100 = (B,? — 25) (B, — 4), 
and thus we obtain for By the following numerical values 0, —5, +-4, +45. 
1. By the first we obtain from (15) 
4: 25 1650 118125 
Ya =— 409 + {008 ~ 1008 1007 
== — .009,975,168,8... 
2. By the second we compute from (7) 
rs 450, ora 185, 4,=— 24, s,= ay Dy ey ete., 
and consequently from (8) or (9) 
5 1 TBO 57650 
a ey BE aggre Pare on apgee eee 
and finally from (13) 
Cie ig 1 185 57650 
Y= —O+ B59 1 Or F “G05 
== — 4.997,775, 744,65... 
3. In the third case » == + 4 we find from su 
2, = — 86, J, = + 238, 2, = + 12, Y, = 1, 3 =o, ete., 
and from (9) 
23 1490 _ 80707 
be | +e 3. =e os =. 
ear: a B, = gm? Bs 365° Ba 367? Cte; 
hence from (13) 
23 1490 80707 
Ya=4-+ 3G 1.3 368 get 
sot ORB ROB, Bh a 
4, In the fourth case 6 By = ++ 5 we have from (7) 
a = + 50, 3 a= + 65, Xs = + 16, 4, = —— it ER Bre 0) Stes) 
and from (9) 
ees BB). F080 1115625 
Bi gp Be or eee Re Ag ae ogre tO. 
consequently : 
ne 1 65 7650 1115625 
eT BS ST BO RR tay 
== ++ 4.979,4538,9... 
A. proof of the work is found in the sum of the four roots, 
Y, = — 0.009, 975, 163,8 
el 4.997, 775, '74.4,5 0 
Yo == + 4.028, 296,8 
¥, = + 4.979, 458, 9 
-+ 4,000, 000, 
inclusive of the sixth decimal place being equal to the negative coeflicient 
of y’, 
