document.write( "Question 145914: Hello I could really use some help with this problem: Solve by completing the square. Write the solutions in simplest radical form. The equation is x to the 2nd power + 6x = 3 Thanks for any help you can give me. \n" ); document.write( "
Algebra.Com's Answer #106493 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
This site gives you a nice tutorial on the subject:
\n" ); document.write( "http://www.purplemath.com/modules/sqrquad.htm
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\n" ); document.write( "Solve by completing the square. Write the solutions in simplest radical form. The equation is x to the 2nd power + 6x = 3 Thanks for any help you can give me.
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\n" ); document.write( "x^2 + 6x = 3
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\n" ); document.write( "take the 6, divide by 2:
\n" ); document.write( "6/2 = 3
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\n" ); document.write( "completing the square of
\n" ); document.write( "produces:
\n" ); document.write( "(x+3)^2 - 9 (subtract 9 because of the 3^2)
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\n" ); document.write( "(x+3)^2 = 3 + 9
\n" ); document.write( "(x+3)^2 = 12
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\n" ); document.write( "take the square root of both sides:
\n" ); document.write( "x+3 = sqrt(12)
\n" ); document.write( "x+3 = 2sqrt(3)
\n" ); document.write( "x = 2sqrt(3) - 3
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