document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73606>Question 73606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find solutions to equation x-5/x=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52658 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=52658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find solutions to equation x-5/x=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5%2Fx=4 ALIGN=MIDDLE  ALT=\"x-5%2Fx=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  First, multiply each term by x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5=4x ALIGN=MIDDLE  ALT=\"x%5E2-5=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Next, subtract 4x from both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x-5=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  quadratic equation in standard form where:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1 ALIGN=MIDDLE  ALT=\"A=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=-4 ALIGN=MIDDLE  ALT=\"B=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-5 ALIGN=MIDDLE  ALT=\"C=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By inspection, we can see that this quadratic can be factored:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A characteristic of quadratics that's useful to know is this:<BR>\n" );
document.write( "If the quadratic can be factored, and the \"A\" coefficient is 1, then the \"B\" coefficient will be the sum of the factors of the \"C\" coefficient.  In this case, the factors of the \"C\" coefficient that work are -5 and 1. For example:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Ba%29%28x%2Bb%29=0 ALIGN=MIDDLE  ALT=\"%28x%2Ba%29%28x%2Bb%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Use FOIL (First, Outer, Inner, Last) to expand:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bxa%2Bxb%2Bab=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bxa%2Bxb%2Bab=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28a%2Bb%29x%2Bab=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28a%2Bb%29x%2Bab=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and we can see that the \"B\" coefficient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb ALIGN=MIDDLE  ALT=\"a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >and the \"C\" factors are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab ALIGN=MIDDLE  ALT=\"ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this helps---ptaylor \r<BR>\n" );
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