document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716356>Question 716356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2F%282x%2B5%29-%285x%2B2%29%2F%282x-5%29=%28Ax%5E2%2BBx%2BC%29%2F%28%282x%2B5%29%282x-5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the smallest values of the numbers |A|, |B|, and |C| </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439869 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=439869\">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=%283x%29%2F%282x%2B5%29-%285x%2B2%29%2F%282x-5%29=%28Ax%5E2%2BBx%2BC%29%2F%28%282x%2B5%29%282x-5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "put the left side over a single denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%282x-5%29-%282x%2B5%29%285x%2B2%29%29%2F%28%282x%2B5%29%282x-5%29%29 ALIGN=MIDDLE  ALT=\"%283x%282x-5%29-%282x%2B5%29%285x%2B2%29%29%2F%28%282x%2B5%29%282x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Ax%5E2%2BBx%2BC%29%2F%28%282x%2B5%29%282x-5%29%29 ALIGN=MIDDLE  ALT=\"%28Ax%5E2%2BBx%2BC%29%2F%28%282x%2B5%29%282x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the denominators are equal, the numerators are equal, so we can write<BR>\n" );
document.write( "3x(2x-5) - (2x+5)(5x+2) = Ax^2 + Bx + C<BR>\n" );
document.write( "6x^2 - 15x - (10x^2 + 4x + 25x + 10) = Ax^2 + Bx + C<BR>\n" );
document.write( "6x^2 - 15x - 10x^2 - 29x - 10 = Ax^2 + Bx + C<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "6x^2 - 10x^2 - 15x - 29x - 10 = Ax^2 + Bx + C<BR>\n" );
document.write( "-4x^2 - 44x - 10 = Ax^2 + Bx + C<BR>\n" );
document.write( "Absolute values<BR>\n" );
document.write( "A = 4<BR>\n" );
document.write( "B = 44<BR>\n" );
document.write( "C = 10\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );