document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171619>Question 171619</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve.\r<BR>\n" );
document.write( "\n" );
document.write( "12/sqrt 5x + 6 = sqrt 2x + 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126760 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=126760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12/sqrt(5x + 6) = sqrt(2x + 5)\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply thru by sqrt(5x+6) to get:<BR>\n" );
document.write( "12 = sqrt[2x+5)(5x+6)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "144 = 10x^2 + 37x +30<BR>\n" );
document.write( "10x^2 + 37x - 114 = 0<BR>\n" );
document.write( "Use the quadratic formula to get:\r<BR>\n" );
document.write( "\n" );
document.write( "x = [-37 +- sqrt(5929)]/20\r<BR>\n" );
document.write( "\n" );
document.write( "x = [-37 +- 77]/20\r<BR>\n" );
document.write( "\n" );
document.write( "x = 2 or x = -114/20<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "2 is a solution; -114/20 is extraneous<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );