document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127382>Question 127382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve.\r<BR>\n" );
document.write( "\n" );
document.write( "3 - a-1/a+2 = a^2-1/a+2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The first number seems to throwing me off, can someone help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93353 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=93353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume it's<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+%28%28a-1%29%29%2F%28%28a%2B2%29%29+=+%28%28a%5E2-1%29%29%2F%28%28a%2B2%29%29 ALIGN=MIDDLE  ALT=\"3+-+%28%28a-1%29%29%2F%28%28a%2B2%29%29+=+%28%28a%5E2-1%29%29%2F%28%28a%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+%28%28a-1%29%29%2F%28%28a%2B2%29%29+%2B+%28%28a%5E2-1%29%29%2F%28%28a%2B2%29%29 ALIGN=MIDDLE  ALT=\"3+=+%28%28a-1%29%29%2F%28%28a%2B2%29%29+%2B+%28%28a%5E2-1%29%29%2F%28%28a%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; Added <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a-1%29%29%2F%28%28a%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%28a-1%29%29%2F%28%28a%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides<BR>\n" );
document.write( ":<BR>\n" );
document.write( "They have the same denominators so we can just write it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+%28%28+a+-+1+%2B+a%5E2+-+1%29%29%2F%28%28a%2B2%29%29 ALIGN=MIDDLE  ALT=\"3+=+%28%28+a+-+1+%2B+a%5E2+-+1%29%29%2F%28%28a%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+%28%28a%5E2+%2B+a+-+2%29%29%2F%28%28a%2B2%29%29 ALIGN=MIDDLE  ALT=\"3+=+%28%28a%5E2+%2B+a+-+2%29%29%2F%28%28a%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; combine like terms, we have quadratic now<BR>\n" );
document.write( "That will factor to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+%28%28a-1%29%28a%2B2%29%29%2F%28%28a%2B2%29%29 ALIGN=MIDDLE  ALT=\"3+=+%28%28a-1%29%28a%2B2%29%29%2F%28%28a%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel out the (a+2)'s and we have a simple equation<BR>\n" );
document.write( "a - 1 = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a = 3 + 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a = 4<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the original equation, substitute 4 for a  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+%28%284-1%29%29%2F%28%284%2B2%29%29+=+%28%284%5E2-1%29%29%2F%28%284%2B2%29%29 ALIGN=MIDDLE  ALT=\"3+-+%28%284-1%29%29%2F%28%284%2B2%29%29+=+%28%284%5E2-1%29%29%2F%28%284%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+%283%29%2F%286%29+=+%28%2816-1%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"3+-+%283%29%2F%286%29+=+%28%2816-1%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+%283%29%2F%286%29+=+%2815%29%2F%286%29 ALIGN=MIDDLE  ALT=\"3+-+%283%29%2F%286%29+=+%2815%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3 is equal to 18/6:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F6+-+%283%29%2F%286%29+=+%2815%29%2F%286%29 ALIGN=MIDDLE  ALT=\"18%2F6+-+%283%29%2F%286%29+=+%2815%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; confirms our solution of a = 4\r<BR>\n" );
document.write( "\n" );
document.write( ":<BR>\n" );
document.write( "Could you follow what we did here? Any questions? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );