document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=483274>Question 483274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me solve the following equations for x<BR>\n" );
document.write( "1) 6/x+3=9x/x^2-9<BR>\n" );
document.write( "2) sqrt2x+3=5<BR>\n" );
document.write( "3) x^3-2x^2-x=2 given x=1 is one solution.<BR>\n" );
document.write( "Thank you<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330770 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=330770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) We write the equation in the simple way to find the LCD:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x%2B3%29=9x%2F%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"6%2F%28x%2B3%29=9x%2F%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.Assuming x different from 3 and -3, multiply both \r<BR>\n" );
document.write( "\n" );
document.write( "sides by (x+3)(x-3) and get:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28x-3%29=9x ALIGN=MIDDLE  ALT=\"6%28x-3%29=9x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=-18 ALIGN=MIDDLE  ALT=\"3x=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6 ALIGN=MIDDLE  ALT=\"x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "2)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B3%29=5 ALIGN=MIDDLE  ALT=\"sqrt%282x%2B3%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Squaring both sides we get:2x+3=25<=>2x=22<=>x=11.\r<BR>\n" );
document.write( "\n" );
document.write( "3)Since x=1 is a solution the polynomial <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-2x%5E2-x-2 ALIGN=MIDDLE  ALT=\"x%5E3-2x%5E2-x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is divisible by x-1\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-2x%5E2-x-2%29%2F%28x-1%29=x%5E2-x-2 ALIGN=MIDDLE  ALT=\"%28x%5E3-2x%5E2-x-2%29%2F%28x-1%29=x%5E2-x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-2x%5E2-x-2=%28x-1%29%28x%5E2-x-2%29 ALIGN=MIDDLE  ALT=\"x%5E3-2x%5E2-x-2=%28x-1%29%28x%5E2-x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "To find the other roots we solve the quadratic equation:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x-2=0 ALIGN=MIDDLE  ALT=\"x%5E2-x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The solution set for the original equation \r<BR>\n" );
document.write( "\n" );
document.write( "is:{-1, 1, 2}. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );