document.write( "Question 339605: Can you explain to me how a constant is found to add to the binomial so that it becomes the perfect square? \r
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Algebra.Com's Answer #243303 by jrfrunner(365)\"\" \"About 
You can put this solution on YOUR website!
Find the coefficient next to the x term, -2/3 in your case
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\n" ); document.write( "take 1/2 of it : \"%281%2F2%29%2A%28-2%2F3%29=-1%2F3\"
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\n" ); document.write( "Square this term: \"%28-1%2F3%29%5E2=1%2F9\"
\n" ); document.write( "this is the amount you must add (and subtract to keep it balanced)\r
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\n" ); document.write( "in your example: \"x%5E2-%282%2F3%29x=x%5E2-%282%2F3%29x%2B1%2F9-1%2F9=%28x-1%2F3%29%5E2-%281%2F9%29\"
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