\fdO'^ - Old Forge Coal Mines

ALGEBRA. 119
Transposing, — A:X* -\- S2x + 3^ = 64 + 2.
Combining terms, — ix^ + d5x = 66.
Dividmg by — 4, x —— = —j-.
Completing the square,
/35\' 1,225
^--4-+UJ = -T + -6r-
^
, S5x ,
Extracting the square root,
66 ,
4"'"\8/ 64 "^64" 64"
35 ,
13
n. 35 ,
Transposmg, ^ = —-
'
13
. „3
± — = 6, or 2-. Ans.
i^x-\- 16 = 2 + i/I becomes jr + 16 = 4 + 4V^ + x,
(c)
when squared. Canceling ^ (Art. 662), and transposing,
— 4^/^ = 4- 16.
- 4i/]r = - 12.
|/:?=3;
whence, ;ir = 3' = 9. Ans.
(328) {a) /3J^=lSl£.
Clearing of fractions,
x^^dx — 5 = 4/74:' + 36"J.
Removing radicals by squaring,
Dividing by x,
Transposing and uniting,
Dividing by 3,
;»r»(3.r - 5) = 7.r' + 36;tr.
3x* - 5x' = 7x* + 36;r.
3.r' — bx — 1x-{- 36.
3x' - nx = 36.
x^ — A:X = 12.