document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980868>Question 980868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is one less than twice another, and the difference between squares is 16, find the numbers<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 #601982 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "One number is one less than twice another<BR>\n" );
document.write( "Another = n<BR>\n" );
document.write( "One number = 1 - 2n<BR>\n" );
document.write( "the difference between squares is 16<BR>\n" );
document.write( "(1 - 2n)^2 - (n)^2 = 16<BR>\n" );
document.write( "(1 - 4n + 4n^2) - n^2 = 16<BR>\n" );
document.write( "Collect like terms<BR>\n" );
document.write( "4n^2 - n^2 - 4n + 1 = 16<BR>\n" );
document.write( "3n^2 - 4n - 15 = 0<BR>\n" );
document.write( "Factorise<BR>\n" );
document.write( "(3n + 5)(n - 3) = 0<BR>\n" );
document.write( "So, 3n + 5 = 0<BR>\n" );
document.write( ".....n = -5/3<BR>\n" );
document.write( ".....n - 3 = 0<BR>\n" );
document.write( "......n = 3<BR>\n" );
document.write( "Either n = -5/3 and other number = 13/3<BR>\n" );
document.write( "or n = 3 and other number = - 5<BR>\n" );
document.write( "Hope this helps:-) </SPAN>\n" );
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