document.write( "Question 925216: when a regiment is arranged in a perfect square,the number of soldiers in the front row is 15 less than the number of soldiers in front row arranged in 4 deep hollow square.find the number of soldiers?
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Algebra.Com's Answer #561360 by Edwin McCravy(20056)\"\" \"About 
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when a regiment is arranged in a perfect square,the number of soldiers in the front row is 15 less than the number of soldiers in front row arranged in 4 deep hollow square. find the number of soldiers?
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document.write( "\"Hollow square\" means a rectangle. (I had to look that up)\r\n" );
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document.write( "So let n = the number of soldiers in the front row when arranged in a\r\n" );
document.write( "hollow square\r\n" );
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document.write( "The the total number of soldiers is 4n\r\n" );
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document.write( "The number in the front row when arranged in a perfect square is n-16.\r\n" );
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document.write( "Then the total number of soldiers is (n-15)2.\r\n" );
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document.write( "We form the equation by setting the two equal:\r\n" );
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document.write( "4n = (n-15)2\r\n" );
document.write( "4n = (n-15)(n-15)\r\n" );
document.write( "4n = n2-15n-15n+225\r\n" );
document.write( "4n = n2-30n+225\r\n" );
document.write( " 0 = n2-34n+225\r\n" );
document.write( " 0 = (n-25)(n-9)\r\n" );
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document.write( "     n-25=0;  n-9=0\r\n" );
document.write( "        n=25;   n=9\r\n" );
document.write( "Two solutions, but 9 does not work \r\n" );
document.write( "since n-16 would be negative.\r\n" );
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document.write( "The number of soldiers is 100.\r\n" );
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document.write( "Edwin
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