document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890279>Question 890279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The outside of a mosaic mirror frame measures 14 in. by 20 in., and 160 in^2 of mirror shows. Find the width of the frame. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538992 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=538992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14%2A20+=+280+ ALIGN=MIDDLE  ALT=\"+14%2A20+=+280+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in2 of total area<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "The width is uniform all around, I assume<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the width of the frame<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+14+-+2x+%29%2A%28+20+-+2x+%29+=+160+ ALIGN=MIDDLE  ALT=\"+%28+14+-+2x+%29%2A%28+20+-+2x+%29+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+280+-+40x+-+28x+%2B+4x%5E2+=+160+ ALIGN=MIDDLE  ALT=\"+280+-+40x+-+28x+%2B+4x%5E2+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2+-+68x+%2B+120+=+0+ ALIGN=MIDDLE  ALT=\"+4x%5E2+-+68x+%2B+120+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+17x+%2B+30+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+17x+%2B+30+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula to solve:<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;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-17+ ALIGN=MIDDLE  ALT=\"+b+=+-17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+30+ ALIGN=MIDDLE  ALT=\"+c+=+30+\"   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+-%28-17%29+%2B-+sqrt%28+%28-17%29%5E2+-+4%2A1%2A30+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28+-%28-17%29+%2B-+sqrt%28+%28-17%29%5E2+-+4%2A1%2A30+%29%29+%2F+%282%2A1%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+17+%2B-+sqrt%28+289+-+120+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"x+=+%28+17+%2B-+sqrt%28+289+-+120+%29%29+%2F+2+\"   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+17+%2B-+sqrt%28+169+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"x+=+%28+17+%2B-+sqrt%28+169+%29%29+%2F+2+\"   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+17+-+13+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+17+-+13+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+4%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2+ ALIGN=MIDDLE  ALT=\"+x+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that I used the negative square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+169+ ALIGN=MIDDLE  ALT=\"+169+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "because if I used the positive square root, I would<BR>\n" );
document.write( "get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+15+ ALIGN=MIDDLE  ALT=\"+x+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which makes no sense<BR>\n" );
document.write( "So, the width of the frame is 2 inches<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+14+-+2x+%29%2A%28+20+-+2x+%29+=+160+ ALIGN=MIDDLE  ALT=\"+%28+14+-+2x+%29%2A%28+20+-+2x+%29+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+14+-+2%2A2+%29%2A%28+20+-+2%2A2+%29+=+160+ ALIGN=MIDDLE  ALT=\"+%28+14+-+2%2A2+%29%2A%28+20+-+2%2A2+%29+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2A16+=+160+ ALIGN=MIDDLE  ALT=\"+10%2A16+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );