document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309012>Question 309012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find all real or imaginary solutions to this equation.<BR>\n" );
document.write( "Use the method of your choice.\r<BR>\n" );
document.write( "\n" );
document.write( "&#8730;7x+29 = x + 3                                  note: sqrt extends over 7x+29<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 #220964 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the method of your choice.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287x%2B29%29 ALIGN=MIDDLE  ALT=\"sqrt%287x%2B29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x + 3<BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "7x + 29 = (x + 3)^2<BR>\n" );
document.write( "FOIL the right sides<BR>\n" );
document.write( "7x + 29 = x^2 + 6x + 9<BR>\n" );
document.write( "Combine like terms on the right<BR>\n" );
document.write( "0 = x^2 + 6x - 7x + 9 - 29<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "x^2 - x - 20 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x-5)(x+4) = 0<BR>\n" );
document.write( "two solutions<BR>\n" );
document.write( "x = +5<BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( ";<BR>\n" );
document.write( "check both solution in original equation<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%285%29%2B29%29 ALIGN=MIDDLE  ALT=\"sqrt%287%285%29%2B29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 + 3 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2835%2B29%29 ALIGN=MIDDLE  ALT=\"sqrt%2835%2B29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 + 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2864%29 ALIGN=MIDDLE  ALT=\"sqrt%2864%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "8 = 8, a good solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x=-4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%28-4%29%2B29%29 ALIGN=MIDDLE  ALT=\"sqrt%287%28-4%29%2B29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -4 + 3 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-28%2B29%29 ALIGN=MIDDLE  ALT=\"sqrt%28-28%2B29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -4 + 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%29 ALIGN=MIDDLE  ALT=\"sqrt%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1<BR>\n" );
document.write( "+1 does not = -1, not a good solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );