document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763478>Question 763478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> L + 1/4L - 1 = 19 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464827 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=464827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "(1) L + 1/(4L) - 1 = 19 or<BR>\n" );
document.write( "(2) L + 1/(4L) = 20  <BR>\n" );
document.write( "Multiply both sides of (2) by 4*L to get<BR>\n" );
document.write( "(3) 4L^2 +1 = 80L or<BR>\n" );
document.write( "(4) 4L^2 - 80L +1 = 0 or<BR>\n" );
document.write( "Use the quadratic equation to find the roots of (4) as<BR>\n" );
document.write( "(5) L = {10+sqrt(99.75),10-sqrt(99.75)} or<BR>\n" );
document.write( "(6) L = {10+9.98749...,10-9.98749...} or<BR>\n" );
document.write( "(7) L = {19.987..,0.0125..}<BR>\n" );
document.write( "I'll leave it to you to check these values of L in (1). </SPAN>\n" );
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