document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344326>Question 344326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "How do you solve:   x^3 - 2x^2 + 9x - 18 = 0   <BR>\n" );
document.write( "the teacher has given us one solution,  3i/square root of -9.<BR>\n" );
document.write( "i need two other solutions and am not sure how to obtain them. <BR>\n" );
document.write( "i have tried rational root theorem/ long division but do not know how to do it with square roots and imaginary numbers.\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246310 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complex solutions always come in complex conjugate pairs. <BR>\n" );
document.write( "So, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3i ALIGN=MIDDLE  ALT=\"3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3i ALIGN=MIDDLE  ALT=\"-3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is also a solution. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3i%29%28x%2B3i%29=x%5E2%2B9 ALIGN=MIDDLE  ALT=\"%28x-3i%29%28x%2B3i%29=x%5E2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can then use polynomial long division to find the last root, <BR>\n" );
document.write( "You can then get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-2x%5E2%2B9x-18%29%2F%28x%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"%28x%5E3-2x%5E2%2B9x-18%29%2F%28x%5E2%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, since only one root remains you know it must be real. <BR>\n" );
document.write( "You could graph the equation and find it that way too.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-2x%5E2%2B9x-18%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-2x%5E2%2B9x-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > might be a number to stick in the function to see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=0 ALIGN=MIDDLE  ALT=\"f%282%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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