document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195453>Question 1195453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A football is kicked straight up into the air. Its height above the ground is approximated by the relation y=25x - 5x^2<BR>\n" );
document.write( ",where y is the height of the ball in meters and x is the time in seconds.<BR>\n" );
document.write( "There are two times when the football is 27.5 m in the air, on the way up and on the way down.<BR>\n" );
document.write( "Joe realizes that using the equation<BR>\n" );
document.write( "y= 27.5<BR>\n" );
document.write( ", he can determine the two times the ball is 27.5<BR>\n" );
document.write( "meters in the air. Algebraically or graphically determine these two times. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827950 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827950\">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=y=25x+-+5x%5E2 ALIGN=MIDDLE  ALT=\"y=25x+-+5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=27.5 ALIGN=MIDDLE  ALT=\"y=27.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27.5=25x+-+5x%5E2 ALIGN=MIDDLE  ALT=\"27.5=25x+-+5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2-+25x%2B27.5=0+ ALIGN=MIDDLE  ALT=\"5x%5E2-+25x%2B27.5=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........simplify, divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-+5x%2B5.5=0+ ALIGN=MIDDLE  ALT=\"x%5E2-+5x%2B5.5=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........use quadratic formula\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%2A1%2A5.5+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%2A1%2A5.5+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B-+sqrt%28+25-22+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+%2B-+sqrt%28+25-22+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B-+sqrt%28+3+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+%2B-+sqrt%28+3+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B-+1.732%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+%2B-+1.732%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B+1.732%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+%2B+1.732%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3.37 ALIGN=MIDDLE  ALT=\"x+=+3.37\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+-+1.732%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+-+1.732%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1.63+ ALIGN=MIDDLE  ALT=\"x+=+1.63+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " these two times are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.63+ ALIGN=MIDDLE  ALT=\"+1.63+\"   DISABLED_style= \"max-width:90%; height:auto;\" >seconds and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.37 ALIGN=MIDDLE  ALT=\"+3.37\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+35%2C+circle%281.63%2C0%2C.123%29%2Ccircle%283.37%2C0%2C.123%29%2Clocate%284%2C29%2Cgreen%28y=27.5%29%29%2C%0D%0Acircle%281.63%2C27.5%2C.123%29%2Ccircle%283.37%2C27.5%2C.123%29%2Cblue%28line%281.63%2C0%2C1.63%2C27.5%29%29%2Cblue%28line%283.37%2C0%2C3.37%2C27.5%29%29%2Clocate%281.4%2C-0.5%2Cblue%281.63%29%29%2Clocate%283.2%2C-0.5%2Cblue%283.37%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+35%2C+25x+-+5x%5E2%2C+27.5%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );