document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86273>Question 86273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the axis of symmetry...<BR>\n" );
document.write( "1. y=-x^2+4x+2\r<BR>\n" );
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document.write( "Find the x-intercepts...<BR>\n" );
document.write( "1. y=x^2+2x-8\r<BR>\n" );
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document.write( "The length of a rectangle is 3cm more than 2 times its width. If the area of the rectangle is 99cm^2, find the dimensions of the rectangle to the nearest thousandth.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62371 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=62371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the axis of symmetry...<BR>\n" );
document.write( "1. y=-x^2+4x+2<BR>\n" );
document.write( "Complete the square to get:<BR>\n" );
document.write( "-(x^2-4x+4) = y-2-4<BR>\n" );
document.write( "-(x-2)^2 = y-6<BR>\n" );
document.write( "Axis of symmetry: x=2<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Find the x-intercepts...\r<BR>\n" );
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document.write( "1. y=x^2+2x-8<BR>\n" );
document.write( "Let y=0 and solve for x:<BR>\n" );
document.write( "x^2+2x-8=0<BR>\n" );
document.write( "(x-2)(x+4)=0<BR>\n" );
document.write( "x=2 or x=-4<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "The length of a rectangle is 3cm more than 2 times its width. If the area of the rectangle is 99cm^2, find the dimensions of the rectangle to the nearest thousandth. \r<BR>\n" );
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document.write( "Let the width be \"x\" cm; the length is \"2x+3\" cm<BR>\n" );
document.write( "Area = x(2x+3)<BR>\n" );
document.write( "99 = 2x^2+3x<BR>\n" );
document.write( "2x^2+3x-99=0<BR>\n" );
document.write( "x=[-3+-sqrt(9-4*2*-99)]/4<BR>\n" );
document.write( "Positive answer is:<BR>\n" );
document.write( "x= 25.31/4<BR>\n" );
document.write( "x= 6.325 cm (this is the width)<BR>\n" );
document.write( "2x+3 = 15.65 cm (this is the length)<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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