SOLUTION: Solve by completing the square 3x^2 – 8x + 2 = 0

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Question 157136: Solve by completing the square 3x^2 – 8x + 2 = 0
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Solve by completing the square


Add  to both sides:



Divide through by coefficient of  which is 3



To the side, multiply the coefficient of ,
which is  by , getting * 

Square .  . Add  to both
sides



Factor the left side. Get  on the right:



Write left side as a perfect square:
Conbine fractions on the right:



Use the principle of square roots:





Add  to both sides:


 
So the two solutions are

 and 

Or if you prefer you can write them over their
common denominator:

 and 

Edwin

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