document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290323>Question 290323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sue rowed her boat across and back lake bend in 3 hours. if her returning rate was 2mph less than the going rate, and if the distance each way was 7 miles find her rate going.\r<BR>\n" );
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document.write( "would it be 7 over x plus 7 over x-2=3? \r<BR>\n" );
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document.write( "I have to solve it using the quadratic formula. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210137 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=210137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sue rowed her boat across and back lake bend in 3 hours.<BR>\n" );
document.write( " if her returning rate was 2mph less than the going rate, and if the distance each way was 7 miles find her rate going.<BR>\n" );
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document.write( "Yes, it could be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Fx ALIGN=MIDDLE  ALT=\"7%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28%28x-2%29%29 ALIGN=MIDDLE  ALT=\"7%2F%28%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 <BR>\n" );
document.write( "Multiply by x(x-2), results<BR>\n" );
document.write( "7(x-2) + 7x = 3x(x-2)<BR>\n" );
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document.write( "7x - 14 + 7x = 3x^2 - 6x<BR>\n" );
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document.write( "14x - 14 = 3x^2 - 6x<BR>\n" );
document.write( "combine like terms to have a quadratic equation<BR>\n" );
document.write( "0 = 3x^2 - 6x - 14x + 14 <BR>\n" );
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document.write( "3x^2 - 20x + 14 = 0<BR>\n" );
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document.write( "the quadratic formula <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In this problem a=3; b=-20; c=14<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-20%29+%2B-+sqrt%28-20%5E2-4%2A3%2A14+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-20%29+%2B-+sqrt%28-20%5E2-4%2A3%2A14+%29%29%2F%282%2A3%29+\"   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+=+%2820+%2B-+sqrt%28400-168+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%2820+%2B-+sqrt%28400-168+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2820+%2B-+sqrt%28232+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%2820+%2B-+sqrt%28232+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2820+%2B+15.23%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%2820+%2B+15.23%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35.23%2F6 ALIGN=MIDDLE  ALT=\"35.23%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 5.87<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2820+-+15.23%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%2820+-+15.23%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.77%2F6 ALIGN=MIDDLE  ALT=\"4.77%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = .795<BR>\n" );
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document.write( "The reasonable solution: x = 5.87 mph, her rate going<BR>\n" );
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document.write( "Check solution by finding the times coming and going<BR>\n" );
document.write( "7/5.87 = 1.19, going<BR>\n" );
document.write( "7/3.87 = 1.81, returning<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "total = 3 hrs\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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