Bangma'* Method of solving Equations. 371 



Now, by adding the constant number 6 to — 28, we have 



— 22; by adding —22 to —42, we have — 64; by adding 



— 64 to 504, we have 440 which is the value of the function 

 x l — 14x 2 — 29.T + 546, when x= c 2; we then write in a line 



2, 440, —64, —22. 

 Now, by adding 6, and proceeding as above, we shall have 

 360 which is the value of the function, when x=3, &c. 



The calculation may be arranged in the following manner : 



1, 504, -42, —28 



— 64 —22 6 



2, 440 -64 -22 



— 80 —16 6 



7, -84 8 



Here is the value of the equation, when a = 7; conse- 

 quently 7 is one of the roots. 



Now, in order to find the other positive roots, we must 

 continue the calculation as follows, by which means we shall 

 find that .r= 13 is also a root. 



7, 0, -84, 8 



— 70 14 6 



Note. 



