Page:Higher algebra - a sequel to elementary algebra for schools.djvu/585

 ANSWERS. 55? 256. (1) .>— 1, w, to- ; z=-(a + b), -(rtw + W), -(i/w'- + /yu). (2) x = S, or 7 | 2 = 0, or -4 y = 7, or 3 ) m = 4, or -6 257. To at least 3r-2 places. 258. Tea, 2s. Go".; Coffee, 1*. 6d. 262. 2g a -6pr+24». 263. 11 turkeys, 9 geese, 3 ducks. 266. (1) x, y, z have the permutations of the values a, la(b-l+sJb*-2b-3), a (b - 1 - JJfi^W^ 3). (i j_ b -f- c (2) as=f/=« = l; # = =— ; &c. 267. 0. 268. 16 Clergymen of average age 45 years ; 24 Doctors of average age 35 years ; 20 Lawyers of average age 30 years. 269. (a a 2 - afl (a. 2 a 4 - a 3 2 ) = (afy - a 2 2 ) 2 ; or a a. 2 a i + 2a x a. 2 a 3 - a a 3 2 - afa A - a 2 3 = 0. 270. X= ± : —, &C. u = ± - — T &c 273. c~$. Va 2 + 6 2 + c 2 V« 2 + ^ 2 + c 2 274. (1) fl-?Viog(l-a;)-2. (2) -^ jl- # , w '^— , j ■ v ' xj a-1 ( (a + l)(a + 2)...(a + n)) 275. (1) *=?, ?, 2; ?/=-l, -g, -1; 3 3 2 ' 4' 4' (2) z=±4, 2/= ±5, t<=±2, w=±l. 5 Vi> ^ t2 v!' u= 4v-3' u=± ^- 276. a 2 + ft 2 + c 2 + d 2 + . 277. -p 1 8 + 3^0- Bp 3 . 279. ^, 6 birds; B, 4 birds. 281. 2. 287. a, -5a, -5a. 289. S 1= - ft"? ^'fl'-fr"?? , &* 291. .4 worked 45 days ; i>, 24 days; C, 10 days. 294. (ft 2 + c 2 - a 2 ) (a 2 - ft 2 + c 2 ) (a 2 + ft- - c 2 ). 300. Walked 3 miles, worked 4 hours a day ; or walked 4 miles, worked 3 hours a day. CAMBRIDGE : PRINTED BY C. J. CLAY, M.A. AND SONS, AT THE UNIVERSITY TRESS.
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