374 ALGEBRA. 



Agnin, suppose the two numbers 1*03 and 1*02, sn4 

 ^ork as fallows : 



1*03 ic rot 



Note 2. Every equatieij. has as many roots as it con- 

 tains dimensions, or as there are units in the index of its 

 highest power.. That is, a simple equation has only one 

 value or root ; bat a quadratic equation has two values or 

 roots y a cubic equation has three roots j a biquadratic 

 equation has four roots, and so on. 



And when one of the roots of an equation has been 

 found by a|>proximQtion, as before, the rest may be found 

 as foUov/s -.-•*^Takc for a dividend the given equation, with 

 the known term- transposed, its sign being changed, to the 

 unknown side ; of the equatLoji ? and for a divisor take K 

 minus the root just found. "rDividje the said dividend by 

 the divisor, and the quotient will, be the equation depressed 

 a degree lower than the given one. 



Find a root of this hew equation by approximation, a§ 

 before, and it will be a secotid root of the original equa- 

 tion. ■ Then, by means of this root> depress the second 



equation 



