document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615287>Question 615287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square:10x=3x^2-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387048 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=387048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square:10x=3x^2-1<BR>\n" );
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document.write( "3x^2 -10x -1 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "3(x^2- (10/3)x + ?) = 1/3 + 3?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "3(x^2 - (10/3)x + (5/3)^2) = (1/3) + 3(5/3)^2<BR>\n" );
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document.write( "3(x-(5/3)^2 = (1/3) + (25/3)<BR>\n" );
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document.write( "(x-(5/3))^2 = (26/9)<BR>\n" );
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document.write( "x-(5/3) = sqrt(26)/3 or x - (5/3) = -sqrt(26)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "x = (-5+sqrt(26))/3 or x = (5-sqrt(sqrt(26))/3<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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