Examples in Algebra a Span Classsearchtermspan Classsearchtermcollect

Albert Harry Wheeler

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16. X"^ -{- 2 bx = a"^ — b\ 17. X^-\-2dx = c''-h2cd.
18. A:^-\-4. Bx=5 b\ 19. 0. -2 — 8 ex = — 7 c2.
20. X^-^lSdx = 19d\ 21. 4a;M-12a; = 7.
22. 4a;2 + 20a; = ~9.
23. 9x^-S0x=:-16.
24. 25aj2-40a; = 9.
25. X'^-\-Sx = i.
26.
a;2_5a; = -V.
27.
x^ 3a;_27 2 16' 28.
--T-I- 29.
x^-^^=^K 5 25 30.
x^ ^^-^ 5-25 31.
a;2 + 2a; = 13.
32.
. T2-4a; = 9.
33.
ar^_6a;=10.
34.
x2 + 8a; = 7.
35.
x2 + 10a; = 8.
36.
a;2 + 16a; = 5.
37.
aj2 4. I8a; = -50.
38.
a^2_20a^ = -105.
39.
0^2-22 aj=-100.
40.
xM-24« = -109.
41....
a, 2_8a) = -27.
42.
a;2_10aj = -59.
43.
i»2:-12a; = -43.
44.
aj2-14a; = -59.
45.
0^2 + 22 a; = -127.
46.
a;2-24a; = -149.
170 EXAMPLES IN ALGEBRA 47. 0)2 _ 2 dx = c2 - cP. 51. A^x^- 2ax = b-a\ 48. X^ — 'icx = 12c\ 52. 11 7)ix = 6 x'' — 7 m\ 49. Ic2 - 3 a^ = 2 ax\ 53. 4(3 x^ -5d'^) = dx.
50. X'-{-2ax-^b'' = 0. 54. 2(6a;2_j_5//)_l_23/ia; = 0.
55. Ar^ -(a -^b)x + 5ab = 2(a2 + &2).
EXERCISE 172 Solve each of the following equations by the Hindu Method, verifying all exact rational results.

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