document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548235>Question 548235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangle is 2 inch more than 2 times its width. the area of the rectangle is 120 square inches. what is the length of the rectangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357180 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=357180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the width in inches.<BR>\n" );
document.write( "The length, in inches, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2 ALIGN=MIDDLE  ALT=\"2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The area, in square inches, is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B2%29x=120 ALIGN=MIDDLE  ALT=\"%282x%2B2%29x=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B2x=120 ALIGN=MIDDLE  ALT=\"2x%5E2%2B2x=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx=60 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-60=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-60=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You could have simplified the equation in a different way, using different steps, but the end result should be equivalent, and I believe my last equation is as nice and simple as you can get.<BR>\n" );
document.write( "There are many ways to solve a quadratic equation like that one. You could try to factor the polynomial, but factoring does not work in this case (It only works when the solutions are nice rational numbers).<BR>\n" );
document.write( "You could also use the quadratic formula, or try to \"complete the square.\"<BR>\n" );
document.write( "(To complete the square, I would start from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx=60 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "For this particular equation I did both, to make sure I could get the same answer two different ways. Both ways, I got<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-1%2Bsqrt%28241%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2Bsqrt%28241%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the positive answer. (We discard the negative answer, because lengths are always measured as positive numbers).<BR>\n" );
document.write( "Then, the length of the rectangle is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2=2%2A%28%28-1%2Bsqrt%28241%29%29%2F2%29%2B2=%28-1%2Bsqrt%28241%29%29%2B2=1%2Bsqrt%28241%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > or about 16.5 inches.<BR>\n" );
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