document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008226>Question 1008226</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Solve the equation:  10/b2 - 3b - 4  = 3b/b -4  -  2/b + 1 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624007 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=624007\">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=10%2F%28b%5E2+-+3b+-+4%29+=+3b%2F%28b+-4%29+-+2%2F%28b+%2B+1+%29 ALIGN=MIDDLE  ALT=\"10%2F%28b%5E2+-+3b+-+4%29+=+3b%2F%28b+-4%29+-+2%2F%28b+%2B+1+%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=10%2F%28b%5E2+-+3b+-+4%29+=+3b%28b+%2B+1+%29%2F%28%28b+%2B+1+%29%28b+-4%29%29+-+2%28b+-4%29%2F%28%28b+%2B+1+%29%28b+-4%29%29 ALIGN=MIDDLE   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=10%2F%28b%5E2%2Bb+-+4b+-+4%29+=+%283b%28b+%2B+1+%29-+2%28b+-4%29%29%2F%28%28b+%2B+1+%29%28b+-4%29%29 ALIGN=MIDDLE   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=10%2F%28%28b%5E2+%2Bb%29-+%284b%2B+4%29%29+=+%283b%5E2+%2B+3b+-+2b+%2B8%29%2F%28%28b+%2B+1+%29%28b+-4%29%29 ALIGN=MIDDLE   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=10%2F%28%28b%2B1%29+%28b-4%29%29+=+%283b%5E2+%2B+b+%2B8%29%2F%28%28b+%2B+1+%29%28b+-4%29%29 ALIGN=MIDDLE  ALT=\"10%2F%28%28b%2B1%29+%28b-4%29%29+=+%283b%5E2+%2B+b+%2B8%29%2F%28%28b+%2B+1+%29%28b+-4%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=10%28cross%28%28b+%2B+1+%29%29cross%28%28b+-4%29%29%29%2F%28cross%28%28b%2B1%29%29cross%28+%28b-4%29%29%29+=+%283b%5E2+%2B+b+%2B8%29 ALIGN=MIDDLE   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=10+=+3b%5E2+%2B+b+%2B8 ALIGN=MIDDLE  ALT=\"10+=+3b%5E2+%2B+b+%2B8\"   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=3b%5E2+%2B+b+%2B8-10=0 ALIGN=MIDDLE  ALT=\"3b%5E2+%2B+b+%2B8-10=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=3b%5E2+%2B+b+-2=0 ALIGN=MIDDLE  ALT=\"3b%5E2+%2B+b+-2=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=3b%5E2+%2B+3b-2b+-2=0 ALIGN=MIDDLE  ALT=\"3b%5E2+%2B+3b-2b+-2=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=%283b%5E2+%2B+3b%29-%282b+%2B2%29=0%0D%0A%0D%0A%0D%0A%7B%7B%7B3b%28b+%2B+1%29-2%28b+%2B1%29=0 ALIGN=MIDDLE   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=%283b-2%29%28b+%2B1%29=0 ALIGN=MIDDLE  ALT=\"%283b-2%29%28b+%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b-2=0 ALIGN=MIDDLE  ALT=\"3b-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b=2 ALIGN=MIDDLE  ALT=\"3b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2%2F3 ALIGN=MIDDLE  ALT=\"b=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+%2B1=0 ALIGN=MIDDLE  ALT=\"b+%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+-1 ALIGN=MIDDLE  ALT=\"b=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> since we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2B1 ALIGN=MIDDLE  ALT=\"b%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > in denominator at very beginning, we exclude this solution\r<BR>\n" );
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document.write( "so, the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > that gives as real solution is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2%2F3 ALIGN=MIDDLE  ALT=\"b=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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