The Inductive Algebra, Embracing a Complete Course for Schools And Academies

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to find x.
V'x-\-a-\-'[/x — o 2o SOLUTION.
l^x^a — ti/x — a x \/x + « + V^* — » 2a (1) ■D T> • a 2t/a!. + « x + 2a By Prm. 8, „ . = "T (2) ^y X — a 2a — X By Prin., Art. 305, J^ = ^±^ (3) yx — a 2a — x . x-\-a a;^ -f 4aa; 4" 4a* .
Squaring, -^^ = ,^-4ax + 4a^ ^^^ ^ ^ . o 2a; 2a;2 + 8a2 ..^ By Pnn. 8, - = -^ (5) ~ „ . „«_ a' a;*+4a* .„, By Prin., Art. 305, — = —j^ (6) Dividing denominators by a, a; = — - — — (7) Whence a: = ± 2al/4 266 ELEMENTS OF ALGEBRA.
Solve the following by applying the Pri
...nciples of Proportion when possible: „ „. i/6i— 2 Vto — 9 ^ „ , 3. Given — ^^ = n: , to nnd x.
l/6a; + 2 4:y^6x + 6 . _,. VHk — h S-\/ax — 26 , ~ , 4. Given — ^:z = , to iind x.
Vax -\- b ^yax + 56 _ „. l/4c + l + i/4» Q X fl J 5. Given — z== — ■ ;;rr = 9, to nnd x.
-\/4x + 1 — y4x In the solution the second member may be written as |.
^. l/a + x + Va — x J. ^ £ J 6. Given — ^i:;;^ — rrr: = 6, to find x.
■j/a + a — V « — X 7 P- v^M^t — ^^^^^^ 1 * fl J 7.


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