[ 7^ ] 



equal 3/r, the value of this quantity may be invefligated by 

 folving a quadratic equation. 



Thus let the equation be, 



x^ +px' + jx + r = 



yi + ^fj'' ^^e'jy + e' 

 x=j + e py + 2 pey Ar pe^ 



qy + qe 

 -^_r_ 



^ ^ -\-6q 



. 3'<r' + 2/>i? + y4 ^e*+\2pe^ • e'' -{■ ^pqe + q'- 



+ 4/^ 



, + 9? +9^ 



+ 3/ + 3P9 



+ 6q +gq +gr 



<)e* + i2pe^ . e^'-i-^.pqe + q* = ()e* -j-izpe^ .e* .e+^P^ 



+ AP" +3/ +3/? 



~Y TpfTf 



.e' .e =0 



-37 -9^ -3/^ 



Let it be required to find the roots of this equation, 



a;' + 6 ;^^ + 3 jf + 2 = 0. Subftituting in the formula 



36+18+9 



. <r' . e = •.• 27 f- = 27 •.• f» = I •.• ^ = I. 



-9 -18 -36 



«3 



