document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300360>Question 300360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The formula P=0.64x^2-0.041x+3 models the approximate population, P, in thousands, for a species of fish in a pond, x years after 1997. During what year will the population reach 54,471 thousand fish? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215588 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215588\">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=0.64x%5E2-0.041x%2B3=54.471+ ALIGN=MIDDLE  ALT=\"0.64x%5E2-0.041x%2B3=54.471+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.64x%5E2-0.041x-51.471=0+ ALIGN=MIDDLE  ALT=\"0.64x%5E2-0.041x-51.471=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-.041%29+%2B-+sqrt%28+%28.041%29%5E2-4%2A0.64%2A%2851.471%29+%29%29%2F%282%2A0.64%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%280.041+%2B-+sqrt%28+0.001681%2B131.76576%29+%29%2F%281.28%29+ ALIGN=MIDDLE  ALT=\"x+=+%280.041+%2B-+sqrt%28+0.001681%2B131.76576%29+%29%2F%281.28%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+=+%280.041+%2B-+11.479+%29%2F%281.28%29+ ALIGN=MIDDLE  ALT=\"x+=+%280.041+%2B-+11.479+%29%2F%281.28%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Only the positive x value makes sense in this problem,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+11.52%2F1.28+ ALIGN=MIDDLE  ALT=\"x+=+11.52%2F1.28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9 ALIGN=MIDDLE  ALT=\"x+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Nine years after 1997 (or 2006), the population will be 54,471.  </SPAN>\n" );
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