Rays Algebra Part Second An Analytical Treatise Designed for High Schools a
Rays Algebra Part Second An Analytical Treatise Designed for High Schools a
Joseph Ray
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4 7. ^2x'-Sa-\-^2x=:^Ja. Ans. X=2a. 8. JI13+V[7+J(3+V'^)]H^- Ans. X=:l. 4 9. \/2+a7+V^«^^2+^- ^^' ^»=f • 10. V5+S+J?=V^. Ans ^-r§^. \x a-f-2^a INEQUALITIES. 171 11. V^+13— Va>— 11=2. 12. Ajx+h^x — cjx=d. X — ax Jx Ans. 14. X+a^^a^+x^(b^+x^). X — a ^x — J a _ /i= 3 ^+2V«- Ans, x=S6^ 1_ l—a* 16. 3x— 1 V3x+1 ^ ^/3x— 1 4a An$. A:=l|4» Aw. A:=16a. Atw. A:=3. 18. »j4:a+x=2Jb'\-x — i^ar. 19. /A_4. /_f_=i/_i^ 20. Jx-^a-\-Jx »Jx-{-a — Jx~ Ans, Ans, Sh-ay 20— b' Ans, x= ^^^ ^ 4c 21. ^V^+3-^Vx-3=^2Vx. An*.... A:=9. 4g&3 23. V(l+«)'+(l--a)a:+V(l— a)^+(l+fl)«=2a. Atw. A:=8. VIII. INEaUALITIES. Art. 217. In the discussion of problems it often becomes necessary to compare quantities that are unequal, and to operate upon them so as to determine the values of the unknown quanti* ties, or to establish certain relations between them. In most cases the methods of operating on equations apply to inequalities ; still there are some exceptions, which render it expedient to present the principles and rules of operation in one view.
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