document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886368>Question 886368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The side of one square is one inch longer than twice the length of the side of a aecond square.<BR>\n" );
document.write( "The difference of the areas of the square is 96inē. Find the length of a side of each square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535897 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = side of square 1<BR>\n" );
document.write( "2x+1 = side of square 2\r<BR>\n" );
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document.write( "difference in the areas is equal to 96 square inches.\r<BR>\n" );
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document.write( "that would be area of square 2 minus area of square 1 = 96\r<BR>\n" );
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document.write( "area of square 1 = x^2<BR>\n" );
document.write( "area of square 2 = (2x+1)^2 = 4x^2 + 4x + 1\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "4x^2 + 4x + 1 - x^2 = 96\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "3x^2 + 4x - 95 = 0\r<BR>\n" );
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document.write( "factor this to get:\r<BR>\n" );
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document.write( "(x-5) * (3x+19) = 0\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 5 or x = -19/3\r<BR>\n" );
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document.write( "x can't be negative, so your solution can only be x = 5\r<BR>\n" );
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document.write( "replace x with 5 in the original equation to see if it holds true.\r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "x^2 = area of square 1<BR>\n" );
document.write( "(2x+1)^2 = area of square 2<BR>\n" );
document.write( "square 2 - square 1 = 96\r<BR>\n" );
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document.write( "replacing x with 5, we get:<BR>\n" );
document.write( "area of square 1 = 25<BR>\n" );
document.write( "area of square 2 = 121<BR>\n" );
document.write( "square 2 - square 1 area = 121 - 25 = 96\r<BR>\n" );
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document.write( "x = 5 is your answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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