document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=593458>Question 593458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this quadratic equation word problem.<BR>\n" );
document.write( "Working alone, Colleen can paint a house in 2 hours less than James. Working together, they can paint the house in 10 hours. How  long would it take James to paint the house by himself?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376324 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=376324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let james take x hours to do the job alone.<BR>\n" );
document.write( "He does 1/x of the job in 1 hour\r<BR>\n" );
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document.write( "Colleen takes x-2 hours\r<BR>\n" );
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document.write( "she does 1/(x-2) of the job in 1 hour\r<BR>\n" );
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document.write( "Together they take 10 hours<BR>\n" );
document.write( "They do 1/10 of the job in 1 hour\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%29%2B+%281%2F%28x-2%29%29+=+1%2F10+ ALIGN=MIDDLE  ALT=\"%281%2Fx%29%2B+%281%2F%28x-2%29%29+=+1%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "LCD = x(x-2)\r<BR>\n" );
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document.write( "Multiply the equation by the LCD\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29+%2Bx+=+x%28x-2%29%2F10+ ALIGN=MIDDLE  ALT=\"%28x-2%29+%2Bx+=+x%28x-2%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "10x-20 +10x = x^2-2x\r<BR>\n" );
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document.write( "x^2-2x-20x+20=0\r<BR>\n" );
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document.write( "x^2-22x+20=0\r<BR>\n" );
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document.write( "Find the roots of the equation by quadratic formula								<BR>\n" );
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document.write( "a=	1	,	b=	-22	,	c=	20	<BR>\n" );
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document.write( "b^2-4ac=	484	+	-80					<BR>\n" );
document.write( "b^2-4ac=	404		<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%09404%09%29=%0920.1%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%09404%09%29=%0920.1%09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
document.write( "x1=(	22	+	20.1	)/	2			<BR>\n" );
document.write( "x1=	21.05							<BR>\n" );
document.write( "x2=(	22	-20.1	) /	2				<BR>\n" );
document.write( "x2=	0.95			<BR>\n" );
document.write( "0.95 is not 	possible\r<BR>\n" );
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document.write( "James takes 21 hours to do the job alone			\r<BR>\n" );
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