document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672812>Question 672812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following formula models the number of prison inmates, P, in thousands who are in US prisons x years after 1980.\r<BR>\n" );
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document.write( "P=2x^2+20x+328\r<BR>\n" );
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document.write( "Find the first year in which the population of US prisons was approximately 440,000 people.\r<BR>\n" );
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document.write( "Thank you for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418321 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=418321\">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=+P+ ALIGN=MIDDLE  ALT=\"+P+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in thousands, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+440+=+2x%5E2+%2B+20x+%2B+328+ ALIGN=MIDDLE  ALT=\"+440+=+2x%5E2+%2B+20x+%2B+328+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+%2B+20x+-+112+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+%2B+20x+-+112+=+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+%2B+10x+-+56+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2+%2B+10x+-+56+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+10x+%2B+%2810%2F2%29%5E2+=+56+%2B+%2810%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+10x+%2B+%2810%2F2%29%5E2+=+56+%2B+%2810%2F2%29%5E2+\"   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+%2B+10x+%2B+25+=+56+%2B+25+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+10x+%2B+25+=+56+%2B+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+%2B+5+%29%5E2+=+81+ ALIGN=MIDDLE  ALT=\"+%28+x+%2B+5+%29%5E2+=+81+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+5+=+9+ ALIGN=MIDDLE  ALT=\"+x+%2B+5+=+9+\"   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+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The year is 1984\r<BR>\n" );
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