document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960069>Question 960069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive positive integers such that the square of the greatest integer is equal to the sum of the squares of the other two integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805555 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> consecutive positive integers: (x-1), x, (x+1)\r<BR>\n" );
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document.write( "(x+1)^2 = (x-1)^2 + x^2<BR>\n" );
document.write( "x^2 + 2x + 1 = 2x^2 - 2x + 1<BR>\n" );
document.write( "0 = x^2 - 4x<BR>\n" );
document.write( "0 = x(x - 4)\r<BR>\n" );
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document.write( "the integers have to be positive ---> x = 4\r<BR>\n" );
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document.write( "The integers are 3, 4, and 5. </SPAN>\n" );
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