document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=284320>Question 284320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three consecutive odd integers.<BR>\n" );
document.write( "The sum of the square of the first and the square of the third is 8 more than twice the square of the second.  </SPAN>\n" );
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document.write( "The sum of the square of the first and the square of the third is 8 more than twice the square of the second. \r<BR>\n" );
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document.write( "Let x be the smallest of the three integers. Then the next two odd integers are x+2 and x+4.\r<BR>\n" );
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document.write( "So we have:\r<BR>\n" );
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document.write( "x^2 + (x+4)^2 = 2*(x+2)^2 + 8<BR>\n" );
document.write( "x^2 + (x^2 + 8x + 16) = 2*(x^2+4x+4) + 8<BR>\n" );
document.write( "x^2 + x^2 + 8x + 16 = 2x^2 + 8x + 8 + 8\r<BR>\n" );
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document.write( "2x^2 + 8x + 16 = 2x^2 + 8x + 16\r<BR>\n" );
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document.write( "Not that the above is true for all x and consequently for any three consecutive odd integers. <BR>\n" );
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