■*7^-' 



&LGEBIIA. 

 EXAMPLES. 



I. To find the root of the cubic equation flf^-f^v^-l"''^ 

 ssrioo, or the value of x in it. 



Here it is soon found, that x lies between 4 and 5. 

 Assume, therefore, these two numbers, and the operation 

 ■will be as follows : 



The sum of which is 71. 

 Then, as 71 : I : : 16 : '225. 

 Hence :cz=:/[' 22^ nearly. 



Again, suppose 4*2 and 4*3, and repeat the work a2 

 follows : 



95-928 



-4-072 



sums 



errors 



102-297 



+ 2-297 



The sum of which is 6*369. 

 As 6*369 : '1 : : 2*297 : 0-036 

 ■Jfhis taken from 4*300 



X^eaves x nearly zzn 4-264 



Agaiuj 



