document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64303>Question 64303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The profit on a watch is given by P = x^2 – 13x – 80, where x is the number of watches sold per day.  How many watches were sold on a day when there was a $50 loss? (Hint:  \"$50 loss\" means a \"negative $50 profit\".  Plug in -50 for P and solve for x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44931 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The expression for profit is given by:\r<BR>\n" );
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document.write( "P = x^2 – 13x – 80 where x represents the number of watches.\r<BR>\n" );
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document.write( "By data, it is told that on a particular day there was a loss of $50. That is a negative profit. \r<BR>\n" );
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document.write( "That is P = - $ 50 \r<BR>\n" );
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document.write( "Substituting for P in the above equation, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-50+=+x%5E2+-+13x+-+80 ALIGN=MIDDLE  ALT=\"-50+=+x%5E2+-+13x+-+80\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Adding 50 on both sides of the above equation, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+13x+-+30+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+13x+-+30+=+0\"   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=x%5E2+-+10x+-+3x+-+30+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+10x+-+3x+-+30+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Taking the first two terms and then grouping them again, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x+-+10%29+-+3%28x+-+10%29+=+0 ALIGN=MIDDLE  ALT=\"x%28x+-+10%29+-+3%28x+-+10%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Taking common factors again, we get: \r<BR>\n" );
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document.write( "(x - 3)(x - 10) = 0 \r<BR>\n" );
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document.write( "So, (x - 3) = 0 OR (x - 10) = 0 \r<BR>\n" );
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document.write( "Therefore, x = 3 OR x = 10 \r<BR>\n" );
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document.write( "Therefore, x = 3 or x = 10 \r<BR>\n" );
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document.write( "Hence, the solution. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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