document.write( "Question 1990: What is the difference between the largest and smallest nine digit perfect square number(formed with 0,1,2,3,..,9 with no two digits repeating) \n" ); document.write( "

Algebra.Com's Answer #801 by longjonsilver(2297) $\"\"$ $\"About$

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10,000 squared gives 100,000,000 --> the smallest 9 digit number
\n" ); document.write( "100,000 squared gives 1,000,000,000 --> 1 larger than the largest possible 9 digit number.\r
\n" ); document.write( "\n" ); document.write( "So our 2 numbers need to be between 10,000 and 100,000.\r
\n" ); document.write( "\n" ); document.write( "Now, i am not sure what you mean by \"formed with\"? Does this mean the number squared to give the answer has to be non-repeating or the number that is the result of the squaring has to be non-repeating.\r
\n" ); document.write( "\n" ); document.write( "I have assumed it is the original numbers, so...\r
\n" ); document.write( "\n" ); document.write( "smallest possible number is 10234.
\n" ); document.write( " largest possible number is 98765\r
\n" ); document.write( "\n" ); document.write( "98765^2 - 10234^2 = 9649790409\r
\n" ); document.write( "\n" ); document.write( "if it was the answers that were supposed to be non-repeating, then i have no idea how to do that algebraically. It would just be trial and error on my part. And i am NOT doing that :-)\r
\n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( "

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