document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302233>Question 302233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Iam having a horrible time w/quadratic equations especially finding decimals here is the first one: duringthe first part of a trip a canoeist travels 91 mi. at a certain speed. The canoeist travels 15 mi on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hours. What was the speed on each part of the trip. The hardest time I am having is to use the quadratic formula and round to the nearest hundreth PLEASE help me understand this. How do you divide quadratic equations to get decimals?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216763 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=216763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> duringthe first part of a trip a canoeist travels 91 mi. at a certain speed. The canoeist travels 15 mi on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hours. What was the speed on each part of the trip. <BR>\n" );
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document.write( "1st Part DATA:<BR>\n" );
document.write( "distance = 91 mi ; rate = x mph ; time = d/r = 91/x hrs.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2nd Part DATA:<BR>\n" );
document.write( "distance = 15 mi ; rate = (x-5) mph ; time = d/r = 15/(x-5) hrs.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time + time = 4 hrs<BR>\n" );
document.write( "91/x + 15/(x-5) = 4<BR>\n" );
document.write( "Mltiply thru by x(x-5) to get:<BR>\n" );
document.write( "91(x-5) + 15x = 4x(x-5)<BR>\n" );
document.write( "91x - 455 + 15x = 4x^2 - 20x<BR>\n" );
document.write( "4x^2 - 126x + 455 = 0<BR>\n" );
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document.write( "Quadratic Formula:<BR>\n" );
document.write( "x = [126 +- sqrt(126^2 - 4*4*455)]/(2*4)<BR>\n" );
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document.write( "x = [126 +- sqrt(8596)]/8<BR>\n" );
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document.write( "x = [126 +- 92.71]/8<BR>\n" );
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document.write( "x = [126+92.71]/8 or x = [126-92.71]/8 <BR>\n" );
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document.write( "x = 27.34 or x = 4.16<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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