2^a: Algebra, 



* 



And.v— |r:v^44-i=6|. 

 Therefore >:=±6^ + l-zzi, 



6, Given j,v'4"^.vr::<r j to find x. 



b c 



First, a:*-| x=— by division ; 



a a 



h A* U^ 



Then «*-|---^;>f4-i — T ==— H T t>v completinff the 



square ; 



lution ; 



And/v-^ = v/ — h-X=\/ • 1 — by evo- 



Therefore fc+v/^dbfL^i. 



7. Given /zA?*— ^A'-4-^=i ; to find ic. 

 Here, ax^'^-^lxz^zd — c by transposition^' 



And ;v ^ «•= by division ; 



a a 



^ 3*^2 ^-^^ ^' 

 Also »v*- -;\;-| -zz ^ by completing 



the square ; 



b Jd^c T^ 

 And ;v zz+v/ 1 by evolution \ 



Therefore Arrr h v/ j . 



2fl"- a * 4a* 



8. Given ^*+2flr/v*=r^ ; to find x* 



Here, /if * +2^;v * -f a * =^+a * by completing the square. 



And Pc*'^a=zy/b-\-a^ by evolution ; 

 Wlience x^zzz^b-^a — j. 



And consequently ;v=:y/ : -y/^4"^ — a* 



9. Given 



