X2-6x +9= 22

 

For solving by completing the squares, it is easily observed that right hand side of the equation is the square of  (x-3).  Hence we can write the given equation as follows:

 

(x-3)2 = 22

 

Take square root on both sides,

 

x-3= ±√22

 

x= 3±√22

 

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