document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313271>Question 313271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a bulletin board is 1 foot more<BR>\n" );
document.write( "than the width. The diagonal has a length of sqrt3feet (ft).<BR>\n" );
document.write( "Find the length and width of the bulletin board. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224004 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "Let the width be x and the length be x+1. Now we can use the Pythagorean formula:<BR>\n" );
document.write( "a^2+b^2=c^2 Plug in what we have:<BR>\n" );
document.write( "x^2+(x+1)^2= (sq rt3)^2 This can be rewritten as:<BR>\n" );
document.write( "2x^2+2x+1=3 Subtract 3 from both sides to get:<BR>\n" );
document.write( "2x^2+2x-2=0 From here we need to use the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the numbers:<BR>\n" );
document.write( "x = -2 +- sqrt( 4+16)/(4) So we come up with 2 answers for x being:<BR>\n" );
document.write( "x=.62 (approx)<BR>\n" );
document.write( "x=-6.47 (approx) The negative doesn't make sense in our problem so .62 is the length of one side and 1.62 is the length of the other.<BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ www.math-unlock.com  </SPAN>\n" );
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