372 Mr. R. T. Glazebrook on a Method of Comparing 

 Eliminating A A' wo arrive at the quadratic, 



1 f G(R +/ ?)(R'+/) R(R'V) 

 + GRR'CC 1 



W> 



+ 



R'(R+/>) 



0. 



Let n x n 2 be the roots, and let 



g(5-±^_r'Cw)+r'==x' 



Then from (8) we have 



\A X + X 2 A 2 = R'(Ai'+A/), 



(9) 



(10) 



X/A/+X/A/ = R(A 



i' + A/U 

 i + A 2 ), J 



(11) 



where A l7 Xj &c. denote the values of A, X corresponding to 



ih) n 2- 



Also initially 



_ V 2 -Vi t ,_ V,-V. . 

 ~ E ' R' ' 



• (12) 



therefore, putting £=0 and V 2 — V X = E in the equations 

 V.-V, 



4 = 



R+P 



+ Aie-*»* + A 2 ^-"2« 



we find 



' ,= w+7 +Al ' e + A ^~" 2 '> 



Ai+Aj 



Ep 



B(R+P) ' 



A' + A' - V 



(13) 



Solving for Aj A 2 , we get 



1 "B{n 1 --n a ) IGCVR+p R' + pV 

 1/1 w 2 p 



+ 



( 1 ggg \") 



RVRC R+p/J 



(14) 



