Algebra

Solving Equations Systems

 

To solve equations systems in algebraic way, we have to end up to an equation that has only one unknown variable. To do this, we can add two equations together to zero out unknown variables or we can substitute a variable from one equation to another.

This technique will be explained by the following example:

 

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Partial Fractions

 

Introduction

Consider the following fractional algebraic function h(x), in which the degree of the numerator f(x) is lower than the degree of the denominator g(x):

 

Partial fraction is the procedure of converting h(x) in a form of summations of fractions: 

 

In the case that the degree of the numerator f(x) is greater than the degree of the denominator g(x), first we divide f(x) by g(x) and then we calculate the partial fractions.

 

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