document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729677>Question 729677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In applying kirchhoff's laws to the circuit shown to the right, the following equations are found.?<BR>\n" );
document.write( "iA+iB+iC=0<BR>\n" );
document.write( "7iA-5iB =2<BR>\n" );
document.write( "5iB-3iC=-1\r<BR>\n" );
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document.write( "iA=?,iB=?,iC=?\r<BR>\n" );
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document.write( "type integers or a fractions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446169 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=446169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iA%2BiB%2BiC=0 ALIGN=MIDDLE  ALT=\"iA%2BiB%2BiC=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7iA-5iB+=2 ALIGN=MIDDLE  ALT=\"7iA-5iB+=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5iB-3iC=-1 ALIGN=MIDDLE  ALT=\"5iB-3iC=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iA ALIGN=MIDDLE  ALT=\"iA\"   DISABLED_style= \"max-width:90%; height:auto;\" >=?,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iB ALIGN=MIDDLE  ALT=\"iB\"   DISABLED_style= \"max-width:90%; height:auto;\" >=?,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iC ALIGN=MIDDLE  ALT=\"iC\"   DISABLED_style= \"max-width:90%; height:auto;\" >=?\r<BR>\n" );
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document.write( "I am going to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iA%2BiB%2BiC=0 ALIGN=MIDDLE  ALT=\"iA%2BiB%2BiC=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......1...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28-iB-iC%29%2Fi ALIGN=MIDDLE  ALT=\"A=%28-iB-iC%29%2Fi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28-cross%28i%29B-cross%28i%29C%29%2Fcross%28i%29%0D%0A%0D%0A%7B%7B%7Bhiglight%28A=-B-C%29 ALIGN=MIDDLE  ALT=\"A=%28-cross%28i%29B-cross%28i%29C%29%2Fcross%28i%29%0D%0A%0D%0A%7B%7B%7Bhiglight%28A=-B-C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......plug it in 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7i%28-B-C%29-5iB+=2 ALIGN=MIDDLE  ALT=\"7i%28-B-C%29-5iB+=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7iB-7iC-5iB+=2 ALIGN=MIDDLE  ALT=\"-7iB-7iC-5iB+=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12B-7C=2 ALIGN=MIDDLE  ALT=\"-12B-7C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....both side multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12B%2B7C=-2 ALIGN=MIDDLE  ALT=\"12B%2B7C=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7C+=-2-12iB ALIGN=MIDDLE  ALT=\"7C+=-2-12iB\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C+=%28-2-12iB%29%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28C+=%28-2-12iB%29%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........plug in 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5iB-3iC=-1 ALIGN=MIDDLE  ALT=\"5iB-3iC=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5iB-3i%28-2-12iB%29%2F7=-1 ALIGN=MIDDLE  ALT=\"5iB-3i%28-2-12iB%29%2F7=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5iB-%28-6i-12%2A3i%2AiB%29%2F7=-1%0D%0A%0D%0A%7B%7B%7B5iB-%28-6i%2B-36i%5E2B%29%2F7=-1 ALIGN=MIDDLE  ALT=\"5iB-%28-6i-12%2A3i%2AiB%29%2F7=-1%0D%0A%0D%0A%7B%7B%7B5iB-%28-6i%2B-36i%5E2B%29%2F7=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5iB-%28-6i-36%28-1%29B%29%2F7=-1 ALIGN=MIDDLE  ALT=\"5iB-%28-6i-36%28-1%29B%29%2F7=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5iB-%28-6i%2B36B%29%2F7=-1 ALIGN=MIDDLE  ALT=\"5iB-%28-6i%2B36B%29%2F7=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35iB-%28-6i%2B36B%29=-7 ALIGN=MIDDLE  ALT=\"35iB-%28-6i%2B36B%29=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35iB%2B6i-36B=-7 ALIGN=MIDDLE  ALT=\"35iB%2B6i-36B=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2835i-36%29=-7%2B6i ALIGN=MIDDLE  ALT=\"B%2835i-36%29=-7%2B6i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B=%28-7%2B6i%29%2F%2835i-36%29%29 ALIGN=MIDDLE  ALT=\"highlight%28B=%28-7%2B6i%29%2F%2835i-36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........now find C\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=%282%2B12iB%29%2F7 ALIGN=MIDDLE  ALT=\"C+=%282%2B12iB%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=%282%2B12i%28-7%2B6i%29%2F%2835i-36%29%29%2F7 ALIGN=MIDDLE  ALT=\"C+=%282%2B12i%28-7%2B6i%29%2F%2835i-36%29%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=%282%2B%28-7%2A12i%2B6i%2A12i%29%2F%2835i-36%29%29%2F7 ALIGN=MIDDLE  ALT=\"C+=%282%2B%28-7%2A12i%2B6i%2A12i%29%2F%2835i-36%29%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=%282%2835i-36%29%2B%28-84i%2B72i%5E2%29%29%2F%2835i-36%29%29%2F7 ALIGN=MIDDLE  ALT=\"C+=%282%2835i-36%29%2B%28-84i%2B72i%5E2%29%29%2F%2835i-36%29%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=%2870i-72-84i-72%29%2F%2835i-36%29%29%2F7 ALIGN=MIDDLE  ALT=\"C+=%2870i-72-84i-72%29%2F%2835i-36%29%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C+=%28-14i-144%29%2F7%2835i-36%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28C+=%28-14i-144%29%2F7%2835i-36%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\n" );
document.write( "and now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28-B-C%29 ALIGN=MIDDLE  ALT=\"A=%28-B-C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28-%28-7%2B6i%29%2F%2835i-36%29%29-%28%28-14i-144%29%2F7%2835i-36%29%29%29 ALIGN=MIDDLE  ALT=\"A=%28-%28-7%2B6i%29%2F%2835i-36%29%29-%28%28-14i-144%29%2F7%2835i-36%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%287-6i%29%2F%2835i-36%29%2B%2814i%2B144%29%2F7%2835i-36%29 ALIGN=MIDDLE  ALT=\"A=%287-6i%29%2F%2835i-36%29%2B%2814i%2B144%29%2F7%2835i-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%287%287-6i%29%2B14i%2B144%29%2F7%2835i-36%29 ALIGN=MIDDLE  ALT=\"A=%287%287-6i%29%2B14i%2B144%29%2F7%2835i-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%2849-42i%2B14i%2B144%29%2F7%2835i-36%29 ALIGN=MIDDLE  ALT=\"A=%2849-42i%2B14i%2B144%29%2F7%2835i-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=%28-28i%2B193%29%2F7%2835i-36%29%29 ALIGN=MIDDLE  ALT=\"highlight%28A=%28-28i%2B193%29%2F7%2835i-36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since you need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iA ALIGN=MIDDLE  ALT=\"iA\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iB ALIGN=MIDDLE  ALT=\"iB\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iC ALIGN=MIDDLE  ALT=\"iC\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your solutions are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iA=i%28-28i%2B193%29%2F%287%2835i-36%29%29 ALIGN=MIDDLE  ALT=\"iA=i%28-28i%2B193%29%2F%287%2835i-36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iB=i%28-7%2B6i%29%2F%2835i-36%29 ALIGN=MIDDLE  ALT=\"iB=i%28-7%2B6i%29%2F%2835i-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iC=i%28-14i-144%29%2F%287%2835i-36%29%29 ALIGN=MIDDLE  ALT=\"iC=i%28-14i-144%29%2F%287%2835i-36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\n" );
document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=iA%2BiB%2BiC=0 ALIGN=MIDDLE  ALT=\"iA%2BiB%2BiC=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%28-28i%2B193%29%2F%287%2835i-36%29%29%2Bi%28-7%2B6i%29%2F%2835i-36%29%2Bi%28-14i-144%29%2F%287%2835i-36%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >......1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-28i%5E2%2B193i%29%2F%287%2835i-36%29%29%2B%28-7i%2B6i%5E2%29%2F%2835i-36%29%2B%28-14i%5E2-144i%29%2F%287%2835i-36%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-28%28-1%29%2B193i%29%2F%287%2835i-36%29%29%2B%28-7i%2B6%28-1%29%29%2F%2835i-36%29%2B%28-14%28-1%29-144i%29%2F%287%2835i-36%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2828%2B193i%29%2F%287%2835i-36%29%29%2B%28-7i-6%29%2F%2835i-36%29%2B%2814-144i%29%2F%287%2835i-36%29%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2828%2B193i%2B7%28-7i-6%29%2B14-144i%29%2F%287%2835i-36%29%29=0 ALIGN=MIDDLE  ALT=\"%2828%2B193i%2B7%28-7i-6%29%2B14-144i%29%2F%287%2835i-36%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2828%2B193i-49i-42%2B14-144i%29=0%2A%287%2835i-36%29%29 ALIGN=MIDDLE  ALT=\"%2828%2B193i-49i-42%2B14-144i%29=0%2A%287%2835i-36%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2B193i-28-193i=0 ALIGN=MIDDLE  ALT=\"28%2B193i-28-193i=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28-28%2B193i-193i=0 ALIGN=MIDDLE  ALT=\"28-28%2B193i-193i=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );