Essentials of Algebra: for Secondary Schools

Cover Essentials of Algebra: for Secondary Schools
Essentials of Algebra: for Secondary Schools
Webster Wells
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41. 42. 43. 44. 45.
3 a 2 + 3 a + 1.
46.
x 5 -y 5 = 31. Fl? — jf '» 1.
# 2 = x + ?/. Y 2 = 3y-x.
f Vs 2 + 7 = 6-y.
I V« 4 + 22?/ 2 = 22 - a 2 .
53ar 2 -128a*/+64?/ 2 =5.
26 a 2 - 62ajy + 32 ?/ 2 =5.
f #?/ — (x — y) = 1. \x 2 y 2 + (x-yy = 13.
\^xy+(x-y)=-S. [xy(x-y)=-S4:.
x 2 — xy -\-y 2 = 12. Tf 3 + t/ 3 + 3 xy = 48.
a 2 + a*/ + ?/ 2 = 7. X + y = 5 + xy.
2x 2 -\-2y 2 = 5xy. At + y 5 = 33.
a? 2 — 2 #?/ + 3xz = —16. 2a?-3?/ = 7. 3a> + 5z = -14.
PROBLEMS. Note. In the following problems, as in th
...ose of § 268, only those answers are to be retained which satisfy the given conditions.
281. 1. The sum of the squares of two numbers is 52, and their difference is one-fifth of their sum. Find the numbers.
2. The difference of the squares of two numbers is 16, and their product is 15. Find the numbers.
SIMULTANEOUS EQUATIONS. 259 3. If the length of a rectangular field were increased by 2 rods, and its width diminished by 5 rods, its area would be 80 square rods ; and if its length were diminished by 4 rods, and its width increased by 3 rods, its area would be 168 square rods.


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