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Question

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 
1x1x2=3,x0,2


Solution

We have
 
1x1x2=3,(1)(x)(x2)(x)=3
 
 
The common denominator is x(x-2)

   1.(x2)x.(x2)    - (1)(x)(x2)(x)=3    
 
 (x2)x.(x2)  - x(x2)(x)=3
 
x2xx(x2)=3

x2xx.(x2)=3
 

 
2=3x(x2)
 
2=3x26x

3x26x+2=0

Using the  quadratic formula and solving for x we have 
b±b24ac2a

6±624(3)(2)2(3)     
 

6±36246      

6±126  


6±236   
 

3±33  
 

  

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