document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055386>Question 1055386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm not sure how to do this question. Could you please help?:<BR>\n" );
document.write( "Diagram: http://imgur.com/a/7ucNQ<BR>\n" );
document.write( "This rectangle is a golden rectangle.<BR>\n" );
document.write( "– ABEF is a square.<BR>\n" );
document.write( "– Rectangle BCDE is similar to rectangle ACDF.<BR>\n" );
document.write( "a) Show that a/1= 1/(a-1)<BR>\n" );
document.write( "b) Find the exact value of a (which will give you the golden ratio) by completing the square.\r<BR>\n" );
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document.write( "Thanks in advanced :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670630 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=670630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the similarity between the two rectangles, that is already the justification for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fy=y%2F%28a-1%29 ALIGN=MIDDLE  ALT=\"a%2Fy=y%2F%28a-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The reason is, their similarity is given.  The equation, replacing your \"1\" with a \"y\" is simply the proportion for comparing the corresponding rectangular parts.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28a-1%29=y%5E2 ALIGN=MIDDLE  ALT=\"a%28a-1%29=y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-a-y%5E2=0 ALIGN=MIDDLE  ALT=\"a%5E2-a-y%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "skipping trying to complete square;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%281%2B-+sqrt%281%2B4y%5E2%29%29%2F2 ALIGN=MIDDLE  ALT=\"a=%281%2B-+sqrt%281%2B4y%5E2%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and probably want the PLUS form. </SPAN>\n" );
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