document.write( "Question 1022185: three numbers are in arithmetic progresion & sum of their
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document.write( "squares is 140. find the numbers?
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Algebra.Com's Answer #637950 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "There is not enough information. Here are 8 different solutions.\r\n" ); document.write( "These are only the integer solutions. There are infinitely many\r\n" ); document.write( "irrational solutions. Look carefully at what was given and see\r\n" ); document.write( "what is omitted.\r\n" ); document.write( "\r\n" ); document.write( "{-2,-6,-10} and (-2)² + (-6)² + (-10)² = 4 + 36 + 100 = 140.\r\n" ); document.write( "{-10,-6,-2} and (-10)² + (-6)² + (-2)² = 100 + 36 + 4 = 140.\r\n" ); document.write( "{6,-2,-10} and (6)² + (-2)² + (-10)² = 36 + 4 + 100 = 140.\r\n" ); document.write( "{-10,-2,6} and (-10)² + (-2)² + (6)² = 100 + 4 + 36 = 140.\r\n" ); document.write( "{10,2,-6} and (10)² + (2)² + (-6)² = 100 + 4 + 36 = 140.\r\n" ); document.write( "{-6,2,10} and (-6)² + (2)² + (10)² = 36 + 4 + 100 = 140.\r\n" ); document.write( "{10,6,2} and (10)² + (6)² + (2)² = 100 + 36 + 4 = 140.\r\n" ); document.write( "{2,6,10} and (2)² + (6)² + (10)² = 4 + 36 + 100 = 140.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "There are also infinitely many irrational solutions.\r\n" ); document.write( "\r\n" ); document.write( "If you find the missing information you can tell me what\r\n" ); document.write( "it is in the thank-you note form below and I'll get back to \r\n" ); document.write( "you by email.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |