document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5069>Question 5069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x/x-1 + 2/x-5=-4/(x-1)(x-5) solve the eqution for x\r<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 #3294 by </B><A HREF=/tutors/aboutme.mpl?userid=guapa><B>guapa(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=guapa><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3294\">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=x%2F%28x-1%29%2B2%2F%28x-5%29=-4%2F%28x-1%29%28x-5%29 ALIGN=MIDDLE  ALT=\"x%2F%28x-1%29%2B2%2F%28x-5%29=-4%2F%28x-1%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First of all we have to make a restriction to avoid division by 0. x can not be 1 or 5. (x-1)=1-1=0, (x-5)=5-5=0<BR>\n" );
document.write( "Now you have to find the LCD which is (x-1)(x-5). Now find equivalent fractions with a common denominator. The advantage here is that by using the LCD you clear the equation of all fractions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x-1%29%2A%28x-5%29%2F%28x-5%29%2B2%2F%28x-5%29%2A%28x-1%29%2F%28x-1%29=-4%2F%28x-1%29%28x-5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-5%29%2B2%28x-1%29=-4 ALIGN=MIDDLE  ALT=\"x%28x-5%29%2B2%28x-1%29=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the distributive property to get rid of the parentheses.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B2x-2=-4 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B2x-2=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > add 4 to both sides and combine like terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Change the middle term into 2 numbers whose sum is -3 and whose product is 2. (-2,-1) -2+(-1)=-3, -2(-1)=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-x%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor by grouping<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-2%29-1%28x-2%29=0 ALIGN=MIDDLE  ALT=\"x%28x-2%29-1%28x-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-2%29=0 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for x<BR>\n" );
document.write( "a)x-1=0, x=1<BR>\n" );
document.write( "b)x-2=0, x=2<BR>\n" );
document.write( "Since we made a restriction you can see that solution a) cannot be correct.<BR>\n" );
document.write( "So, (2) is the solution set.<BR>\n" );
document.write( "Check it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%282-1%29%2B2%2F%282-5%29=-4%2F%282-1%29%282-5%29 ALIGN=MIDDLE  ALT=\"2%2F%282-1%29%2B2%2F%282-5%29=-4%2F%282-1%29%282-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F1%2B2%2F-3=-4%2F-3 ALIGN=MIDDLE  ALT=\"2%2F1%2B2%2F-3=-4%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F1-2%2F3=4%2F3 ALIGN=MIDDLE  ALT=\"2%2F1-2%2F3=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the LCD (3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-2=4 ALIGN=MIDDLE  ALT=\"6-2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=4 ALIGN=MIDDLE  ALT=\"4=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope it helps\r<BR>\n" );
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