■[ n ] 



x=y + i 



jy =- 

 % 



12 



6x* = 6^*' + 12^ + 6 



3^ = 3->' + 3 

 2 = 2_ 



j' + 9>^ + 18^-+ 12 = 

 2' + i85r ^.io8«+ 144 = 



Extrad the cubic) „ . ^ , ^ 



root on each fide I ^' + 18 ^- + 108 ^+ 216 = 72 



5r ^. 6 = ^ 72 •/ 2r = — 6 + 2 ^9 



12 12 



— 6 + 2^9 



12 — 6 + 2 ^ 



A" = 



— 6 + 2 v'( 



+ I 



fubftituting then for 2 ^^ its 3 values, 2^9, — 1+^—3x^/9, 

 — I — i/ — 3 X i/9 the roots of the propofed equation will be 



12 



— 6 + 2^/9 



— +^ 



12 



+ 1, 



12 



6— i+v^— 3.v/q — 6— I— v/— 3V9 



+ 1 



But the roots of the given equation may be found after one 

 transformation, for the roots of the final equation are cxpreffed 

 in the co-efficients of the firfl transformed equation, and the 



root 



