document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056723>Question 1056723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi i have three questions and this seemed the most fitting place to put them. im very confused on these and would like to know how to solve them and what the answers are.<BR>\n" );
document.write( "please solve:\r<BR>\n" );
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document.write( "1) x^3 + 2x + 3 = 0\r<BR>\n" );
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document.write( "2) x^4 + 3x^2 - 4 = 0\r<BR>\n" );
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document.write( "3) (x/(x-3)) + (x/(x+3)) = (2/(x^2-9)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671785 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^3+2x+3.  Use synthetic division<BR>\n" );
document.write( "try -1<BR>\n" );
document.write( "-1/1===0==2==3 remember a 0 for the x^2 term.<BR>\n" );
document.write( "===1==-1==3==0<BR>\n" );
document.write( "the factors are (x+1)(x^2-x+3)=0<BR>\n" );
document.write( "x=-1, and by the quadratic formula will give +/- i sqrt(2) for the other 2<BR>\n" );
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document.write( "x^4+3X^2-4=0.  Treat this like ax^2+bx+c and factor, only there will be x^2 as leading.<BR>\n" );
document.write( "(X^2+4)(X^2-1)=0<BR>\n" );
document.write( "x=1,-1,+/-2i<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E4%2B3x%5E2-4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E4%2B3x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " (x/(x-3)) + (x/(x+3)) = (2/(x^2-9))<BR>\n" );
document.write( "Multiply everything by (x^2-9) to clear the fractions.<BR>\n" );
document.write( "x(x+3)+x(x-3)=2<BR>\n" );
document.write( "x^2+3x+x^2-3x=2<BR>\n" );
document.write( "2x^2=2<BR>\n" );
document.write( "x^2=1<BR>\n" );
document.write( "x=1,-1<BR>\n" );
document.write( "Check roots<BR>\n" );
document.write( "(1/-2)+(1/4)=2/(-8) works for 1<BR>\n" );
document.write( "(1/4)+(-1/2)=2/(-8) works for -1 </SPAN>\n" );
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