document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247740>Question 247740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following problems by defining the variable, writing a quadratic equation, solving it and then providing a written conclusion.\r<BR>\n" );
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document.write( " - The sum of the squares of two consecutive even numbers is 1460.  Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180612 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=180612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive even numbers is 1460. Find the numbers.<BR>\n" );
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document.write( "1st even: 2x<BR>\n" );
document.write( "2nd even: 2x+2<BR>\n" );
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document.write( "(2x)^2 + (2x+2)^2 = 1460<BR>\n" );
document.write( "4x^2 + 4x^2 + 8x + 4 = 1460<BR>\n" );
document.write( "8x^2 + 8x -1456 = 0<BR>\n" );
document.write( "x^2 + x - 182 = 0<BR>\n" );
document.write( "(x-13)(x+14) = 0<BR>\n" );
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document.write( "x = 13<BR>\n" );
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document.write( "1st: 2x = 26<BR>\n" );
document.write( "2nd: 28<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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