document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560361>Question 560361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fred cycled from home to his friends house and back again.<BR>\n" );
document.write( "The distance from Fred's home to his friends house is 20km<BR>\n" );
document.write( "on his way from home to his friends house fred cycled at Xkm per hour<BR>\n" );
document.write( "on his way back freds speed had decreased by 2 km per hour<BR>\n" );
document.write( "it took fred 4 hours altogether to cycle to his friends house and back.<BR>\n" );
document.write( "Write down an equation for x. \r<BR>\n" );
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document.write( "THEN SHow that the equation can be written as  : <BR>\n" );
document.write( "x^2 - 12x + 10 = 0\r<BR>\n" );
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document.write( "and solve it. \r<BR>\n" );
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document.write( "All i know is that it needs to be factorised somewhere? But im really unsure. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363916 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=363916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fred cycled from home to his friends house and back again.<BR>\n" );
document.write( "The distance from Fred's home to his friends house is 20km<BR>\n" );
document.write( "on his way from home to his friends house fred cycled at Xkm per hour<BR>\n" );
document.write( "on his way back freds speed had decreased by 2 km per hour<BR>\n" );
document.write( "it took fred 4 hours altogether to cycle to his friends house and back.<BR>\n" );
document.write( "Write down an equation for x.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = from home speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-2) = return home speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "from time + return time = 4 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fx ALIGN=MIDDLE  ALT=\"20%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%28%28x-2%29%29 ALIGN=MIDDLE  ALT=\"20%2F%28%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "multiply by x(x-2) to clear the denominators, results:<BR>\n" );
document.write( "20(x-2) + 20x = 4x(x-2)<BR>\n" );
document.write( "20x - 40 + 20x = 4x^2 - 8x<BR>\n" );
document.write( "combine like terms on the right<BR>\n" );
document.write( "0 = 4x^2 - 8x - 40x + 40<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "4x^2 - 48x + 40 = 0<BR>\n" );
document.write( "simplify, divide by 4 and you have<BR>\n" );
document.write( "x^2 - 12x + 10 = 0<BR>\n" );
document.write( "and solve it.<BR>\n" );
document.write( "Use the quadratic formula: a=1, b=-12; c=10<BR>\n" );
document.write( "Only one solution will make sense, check it in the original time equation  </SPAN>\n" );
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