document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173108>Question 173108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i convert this into a form i can solve as a quadratic equation?\r<BR>\n" );
document.write( "\n" );
document.write( "9(p-300)^2= 1.02^2 *p(400-p) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127949 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do i convert this into a form i can solve as a quadratic equation? <BR>\n" );
document.write( "9(p-300)^2= 1.02^2 *p(400-p)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "expand all the terms.<BR>\n" );
document.write( "9(p-300)^2= 1.02^2 *p(400-p)<BR>\n" );
document.write( "9(p^2 - 600p + 90000) = 1.0404*(400p - p^2)<BR>\n" );
document.write( "9p^2 - 5400 p + 810000 = 416.16p - 1.0404p^2<BR>\n" );
document.write( "p^2 - 600p + 90000 = 46.24p - 0.1156p^2<BR>\n" );
document.write( "Collect terms<BR>\n" );
document.write( "1.1156p^2 - 646.24p + 90000 = 0<BR>\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=solve_quadratic_equation.solver>SOLVE quadratic equation (work shown, graph etc)</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in our case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.1156x%5E2%2B-646.24x%2B90000+=+0 ALIGN=MIDDLE  ALT=\"1.1156x%5E2%2B-646.24x%2B90000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) has the following solutons:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For these solutions to exist, the <U>discriminant</U> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > should not be a negative number.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  First, we need to compute the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%28-646.24%29%5E2-4%2A1.1156%2A90000=16010.1376 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%28-646.24%29%5E2-4%2A1.1156%2A90000=16010.1376\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Discriminant d=16010.1376 is greater than zero. That means that there are two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B12%5D+=+%28--646.24%2B-sqrt%28+16010.1376+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28--646.24%2B-sqrt%28+16010.1376+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+%28-%28-646.24%29%2Bsqrt%28+16010.1376+%29%29%2F2%5C1.1156+=+346.34778255817 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+%28-%28-646.24%29%2Bsqrt%28+16010.1376+%29%29%2F2%5C1.1156+=+346.34778255817\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+%28-%28-646.24%29-sqrt%28+16010.1376+%29%29%2F2%5C1.1156+=+232.92794350852 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+%28-%28-646.24%29-sqrt%28+16010.1376+%29%29%2F2%5C1.1156+=+232.92794350852\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <BR>\n" );
document.write( "    Quadratic expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.1156x%5E2%2B-646.24x%2B90000 ALIGN=MIDDLE  ALT=\"1.1156x%5E2%2B-646.24x%2B90000\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.1156x%5E2%2B-646.24x%2B90000+=+%28x-346.34778255817%29%2A%28x-232.92794350852%29 ALIGN=MIDDLE  ALT=\"1.1156x%5E2%2B-646.24x%2B90000+=+%28x-346.34778255817%29%2A%28x-232.92794350852%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: 346.34778255817, 232.92794350852.\n" );
document.write( "Here's your graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1.1156%2Ax%5E2%2B-646.24%2Ax%2B90000+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1.1156%2Ax%5E2%2B-646.24%2Ax%2B90000+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );