document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=736089>Question 736089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi! i'm doing mymaths homework and it says,\r<BR>\n" );
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document.write( "write an expression for this rectangle side one x+2 side two x.<BR>\n" );
document.write( "I have wrote the expression x squared+2x.<BR>\n" );
document.write( "Now it says set up a quadratic equation to describe the situation, then solve it. \r<BR>\n" );
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document.write( "Please Help+Thanks!<BR>\n" );
document.write( "Erin </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449667 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=449667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Multiplying the expressions for the measures of the sides of a rectangle gives you the area of the rectangle.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^2\ +\ 2x\"> is indeed the correct expression for the product you describe and had you provided a number that represents the area of the rectangle, it would be a simple matter to set your product of sides expression equal to the given area from which it is a fairly simple manipulation to construct a quadratic equation in standard form.  But lacking such a number representing the area, I can only show you in general what to do.  Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A\"> represent the numerical value of the area of your rectangle.  Then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 2x\ =\ A\">\r<BR>\n" );
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document.write( "which can be converted to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 2x\ -\ A\ =\ 0\">\r<BR>\n" );
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document.write( "Substitute your area value when you find it and solve the quadratic.  By the way, such a quadratic will have two distinct roots and one of them will be negative.  Since a negative number is an absurd value for a measure of the length of a side of a rectangle, discard that root.  The positive root will be the width of your rectangle and the value <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ +\ 2\"> will be the length.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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