document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859616>Question 859616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A picture frame holds a 4in by 6 in photo. The frame adds a border x inches wide around three sides of the photo. On the fourth side the frame forms a border that is 3x-0.5 in wide. The combined area of photo and frame is 80.5 inē. Write a quadratic equation for the combined area. Then use the formula to find x.......this is my daughters homework and I cant figure it out...please help\r<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 #517949 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=517949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A picture frame holds a 4in by 6 in photo.<BR>\n" );
document.write( " The frame adds a border x inches wide around three sides of the photo.<BR>\n" );
document.write( " On the fourth side the frame forms a border that is 3x-0.5 in wide.<BR>\n" );
document.write( " The combined area of photo and frame is 80.5 inē.<BR>\n" );
document.write( " Write a quadratic equation for the combined area.<BR>\n" );
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document.write( "The area of the top portion which does not include the bottom border area\<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "(2x+4)(x+6) = 2x^2 + 12x + 4x + 24 = 2x^2 + 16x + 24<BR>\n" );
document.write( "The area of the bottom border<BR>\n" );
document.write( "(2x+4)(3x-.5) = 6x^2 - x + 12x - 2 = 6x^2 + 11x - 2<BR>\n" );
document.write( "Total area = 80.5<BR>\n" );
document.write( "(2x^2 + 16x + 24) + (6x^2 + 11x - 2) = 80.5<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "2x^2 + 6x^2 + 16x + 11x + 24 - 2 - 80.5 = 0<BR>\n" );
document.write( "f(x) = 8x^2 + 27x - 58.5, the quadratic equation of the combined area<BR>\n" );
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document.write( " Then use the formula to find x.<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( "a=8, b=27, c=-58.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-27+%2B-+sqrt%2827%5E2-4%2A8%2A-58.5+%29%29%2F%282%2A8%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-27+%2B-+sqrt%2827%5E2-4%2A8%2A-58.5+%29%29%2F%282%2A8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can do the math here, I came up with reasonable answer of x=1.5\"<BR>\n" );
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