document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231170>Question 231170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve problem by completing the square, leaving the results in simplest radical form Check.\r<BR>\n" );
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document.write( "I am confused with this one:\r<BR>\n" );
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document.write( "3xsquared - 6x =3<BR>\n" );
document.write( "divide by 3<BR>\n" );
document.write( "x squared - 3x = 9<BR>\n" );
document.write( "x squared - 2x = 1 (Add one to both sides)......x squared -2x + 1 = 4<BR>\n" );
document.write( "now I am lost....please help me!  Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171140 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your equation is:\r<BR>\n" );
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document.write( "3x^2 - 6x = 3\r<BR>\n" );
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document.write( "You need to divide both sides of this equation by 3 to get:\r<BR>\n" );
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document.write( "x^2 - 2x = 1\r<BR>\n" );
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document.write( "You take 1/2 of 2 to get 1.\r<BR>\n" );
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document.write( "Your factors are (x-1)^2 = 1 + 1\r<BR>\n" );
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document.write( "This becomes (x-1)^2 = 2\r<BR>\n" );
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document.write( "Take the square root of this to get:\r<BR>\n" );
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document.write( "x-1 = +/- sqrt(2)\r<BR>\n" );
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document.write( "Add 1 to both sides to get:\r<BR>\n" );
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document.write( "x = 1 +/- sqrt(2)\r<BR>\n" );
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document.write( "This means that:\r<BR>\n" );
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document.write( "x = 1+sqrt(2)<BR>\n" );
document.write( "or:<BR>\n" );
document.write( "x = 1-sqrt(2)\r<BR>\n" );
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document.write( "To see if this works out ok, you need to substitute in the original equation to see if the equation is true.\r<BR>\n" );
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document.write( "Your original equation is 3x^2 - 6x = 3\r<BR>\n" );
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document.write( "If x = 1 + sqrt(2), this becomes:\r<BR>\n" );
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document.write( "3 * (1+sqrt(2)^2) - 6 * (1+sqrt(2)) = 3\r<BR>\n" );
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document.write( "This becomes:\r<BR>\n" );
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document.write( "3 + 6*sqrt(2) + 6 - 6 - 6*sqrt(2) = 3\r<BR>\n" );
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document.write( "6 and 6*sqrt(2) cancel out leaving 3 = 3\r<BR>\n" );
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document.write( "This is true so the value for x is good.\r<BR>\n" );
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document.write( "I'll leave you to replace x with 1 - sqrt(2) to see if that's good too.\r<BR>\n" );
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document.write( "You might want to check out the following website to review how to complete the square.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.algebrahelp.com/lessons/equations/completingthesquare/\" target = \"_blank\">Completing the Square (algebrahelp)</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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