document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=267495>Question 267495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help... have to solve by completing square\r<BR>\n" );
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document.write( "2r^2+10r+11=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196294 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=196294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve by completing square <BR>\n" );
document.write( "2r^2+10r+11=0<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "2r^2 + 10r = -11<BR>\n" );
document.write( "Factor left side:<BR>\n" );
document.write( "2(r^2 + 5r + ?) = -11 + 2?<BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "2(r^2+5r + (5/2)^2) = -11 + 2(5/2)^2<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "2(r+(5/2))^2 = -22/2 + 25/2<BR>\n" );
document.write( "2(r+(5/2)^2 = 3/2<BR>\n" );
document.write( "(r+5/2)^2 = 3/4<BR>\n" );
document.write( "Take the square root:<BR>\n" );
document.write( "r + 5/2 = +-sqrt(3)/2<BR>\n" );
document.write( "Solve for \"r\":<BR>\n" );
document.write( "r = (-5+-sqrt(3))/2<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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