document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465377>Question 465377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 3x^2-2x+7=0, then (x-1/3)^2=?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318904 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=318904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 3x^2-2x+7=0<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "x = [2+-sqrt(4-4*3*7)]/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [2 +- sqrt(80)]/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [2 +- 4sqrt(3)]/6<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [1 + 2sqrt(3)]/3 or x = [1 - 2sqrt(3)]/3<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( " then (x-1/3)^2=??<BR>\n" );
document.write( "---<BR>\n" );
document.write( "If x = [1+2sqrt(3)]/3<BR>\n" );
document.write( "then (x-(1/3)^2 <BR>\n" );
document.write( "= [[1+2sqrt(3)]/3 - (1/3)]^2 <BR>\n" );
document.write( "= [2sqrt(3)/3]^2 <BR>\n" );
document.write( "= 4/3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "If x = [1-2sqrt(3)]/3 <BR>\n" );
document.write( "then (x-(1/3)^2 = 4/3<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );