document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90301>Question 90301</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Beginning Al</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width of the rectangle?\r<BR>\n" );
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document.write( "x^2 + (x + 1)^2 = 4^2<BR>\n" );
document.write( "x^2+ x^2 + 2x + 1 = 16<BR>\n" );
document.write( "2x^2 + 2x + 1 -16 = 0<BR>\n" );
document.write( "2x^2 + 2x -15 = 0<BR>\n" );
document.write( "x^2 + x -15/2 = 0\r<BR>\n" );
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document.write( "I think the above is correct, but now I don't know what to do...<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 #65552 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> YOU WERE ALMOST THERE!!!!!!!!!!!!!!!<BR>\n" );
document.write( "Let x=width<BR>\n" );
document.write( "Then x+1=length\r<BR>\n" );
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document.write( "x^2+(x+1)^2=4^2  get rid of parens\r<BR>\n" );
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document.write( "x^2+x^2+2x+1=16<BR>\n" );
document.write( "2x^2+2x+1-16=0\r<BR>\n" );
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document.write( "2x^2+2x-15=0  quadratic in standard form.  We can solve using the quadratic formula\r<BR>\n" );
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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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A2%2A%28-15%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A2%2A%28-15%29+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+%2B-+sqrt%28124%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+sqrt%28124%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "We'll not worry about the negative value for x, since lengths and widths are positive<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+%2B+11.1355%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B+11.1355%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%289.1355%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%289.1355%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2.284+ ALIGN=MIDDLE  ALT=\"x+=+2.284+\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm----------------------width\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=2.284%2B1=3.284 ALIGN=MIDDLE  ALT=\"x%2B1=2.284%2B1=3.284\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm-----------------length\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.284%5E2%2B3.284%5E2=4%5E2 ALIGN=MIDDLE  ALT=\"2.284%5E2%2B3.284%5E2=4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.216%2B10.785=16 ALIGN=MIDDLE  ALT=\"5.216%2B10.785=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "16.001~~16\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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