document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=644903>Question 644903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%283x%5E2%2B5x%2B8%29+-+sqrt%283x%5E2%2B5x%2B1%29=+1+ ALIGN=MIDDLE  ALT=\"+sqrt%283x%5E2%2B5x%2B8%29+-+sqrt%283x%5E2%2B5x%2B1%29=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x1, x2 = ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405304 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><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=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=405304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(3x^2+5x+8) - sqrt(3x^2+5x+1)= 1 <BR>\n" );
document.write( "or sqrt(3x^2+5x+8)=1+ sqrt(3x^2+5x+1)<BR>\n" );
document.write( "squaring both sides<BR>\n" );
document.write( "3x^2+5x+8=3x^2+5x+1+1 +2 sqrt(3x^2+5x+1)<BR>\n" );
document.write( "or 8-2=2 sqrt(3x^2+5x+1)<BR>\n" );
document.write( "or sqrt(3x^2+5x+1)=6/2=3<BR>\n" );
document.write( "again squaring both sides<BR>\n" );
document.write( "3x^2+5x+1=9<BR>\n" );
document.write( "or 3x^2+5x+-8=0<BR>\n" );
document.write( "or 3x^2-3x+8x-8=0<BR>\n" );
document.write( "or 3x(x-1)+8(x-1)=(x-1)(3x+8)=0<BR>\n" );
document.write( "or x=1 or -8/3<BR>\n" );
document.write( "ans </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );