document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92640>Question 92640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am asked to find all solutions, real or complex:\r<BR>\n" );
document.write( "\n" );
document.write( "(3x+1)^2=-12\r<BR>\n" );
document.write( "\n" );
document.write( "I have no idea how to even start this type of problem, your help would be greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67455 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=67455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am asked to find all solutions, real or complex:<BR>\n" );
document.write( "(3x+1)^2 = -12<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can do this by continuing to completing the square:<BR>\n" );
document.write( "3x + 1 = +/-Sqrt(-12); find the sqrt of both sides<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3x = -1 +/-Sqrt(-4*3)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3x = -1 + 2i*Sqrt(3)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1+%2B+2i%2Asqrt%283%29%29%2F3 ALIGN=MIDDLE  ALT=\"%28-1+%2B+2i%2Asqrt%283%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1+-+2i%2Asqrt%283%29%29%2F3 ALIGN=MIDDLE  ALT=\"%28-1+-+2i%2Asqrt%283%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );