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August 21st, 2007, 03:20 PM  #1 
Senior Member Joined: Dec 2006 From: New Jersey Posts: 378 Thanks: 1  Complete the Square
When I complete the square of 3x^2  4x + 2 = 0, I get a totally different answer than when solving it using the quadratic formula. Can anyone here solve this using completing the square and show me step by step? The answer is: x = (2 + sqrt{2}i)/3 and x = (2  sqrt{2}i)/3 Also, does it matter if I place the i before the square root symbol or after? In other words, should it be (sqrt{2}i) or i(sqrt{2}) for the question above? 
August 21st, 2007, 06:34 PM  #2 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0  Re: Complete the Square
0=3x^24x+2 0=x^2(4/3)x+(2/3) 0=(x(2/3))^2+(2/9) (2/9)=(x(2/3))^2 ±?(2/9)=x(2/3) ±?(2/9)+(2/3)=x Therefore, we get.. x=(2±?(2)i)/3. You always put the number before an variable. 

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