document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105147>Question 1105147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> n airplane flies 355 miles to city A. Then, with better winds, it continues on to city B, 448 miles from A, at a speed 14.0 mi./h greater than on the first leg of the trip. The total flying time was 5.20 h. Find the speed at which the plane travelled to city A. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719885 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=719885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Better winds must mean, \"increased wind speed in the traveling direction\".<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "            SPEED       TIME              DISTANCE\r\n" );
document.write( "To A           r        355/r               355\r\n" );
document.write( "To B         r+14       448/(r+14)          448\r\n" );
document.write( "Total                   5.2\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28355%2Fr%2B448%2F%28r%2B14%29=5.2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28355%2Fr%2B448%2F%28r%2B14%29=5.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve this for r.\r<BR>\n" );
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document.write( "-\r<BR>\n" );
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document.write( "Simplification using the algebra steps should lead to something equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.2r%5E2-730.2r-4970=0 ALIGN=MIDDLE  ALT=\"5.2r%5E2-730.2r-4970=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=636568.04 ALIGN=MIDDLE  ALT=\"636568.04\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28636568.04%29=797.85214 ALIGN=MIDDLE  ALT=\"sqrt%28636568.04%29=797.85214\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "continuing on to using general quadratic formula solution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%28730.2%2B797.85214%29%2F10.4 ALIGN=MIDDLE  ALT=\"r=%28730.2%2B797.85214%29%2F10.4\"   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=highlight%28r=146.9%29 ALIGN=MIDDLE  ALT=\"highlight%28r=146.9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and when checked in the original equation might be about 5.19 or 5.2, so this solution works. </SPAN>\n" );
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