document.write( "Question 166360: the sum of the squares of six consecutive integers is 1111. what are the integers and what is the problem solving strategy? \n" ); document.write( "
Algebra.Com's Answer #122618 by Edwin McCravy(20062)\"\" \"About 
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the sum of the squares of six consecutive integers is 1111. what are the integers and what is the problem solving strategy?
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document.write( "Let consecutive the integers be \"x\", \"x%2B1\", \"x%2B2\", \"x%2B3\", \"x%2B4\", and \"x%2B5\"\r\n" );
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document.write( "Then we have the equation:\r\n" );
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document.write( "Collect terms:\r\n" );
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document.write( "\"6x%5E2%2B30x%2B55=1111\"\r\n" );
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document.write( "\"6x%5E2%2B30x-1056=0\"\r\n" );
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document.write( "Divide through by 6:\r\n" );
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document.write( "\"x%5E2%2B5x-176=0\"\r\n" );
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document.write( "Factor:\r\n" );
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document.write( "\"%28x-11%29%28x%2B16%29=0\"\r\n" );
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document.write( "Use the zero factor property:\r\n" );
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document.write( "\"matrix%282%2C3%2Cx-11=0%2C%22%22%2Cx%2B16=0%2Cx=11%2C%22%22%2Cx=-16%29\"\r\n" );
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document.write( "So there are two solutions:\r\n" );
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document.write( "If \"x+=+11\",  then the consecutive integers are\r\n" );
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document.write( "\"x\", \"x%2B1\", \"x%2B2\", \"x%2B3\", \"x%2B4\", and \"x%2B5\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"11\", \"11%2B1\", \"11%2B2\", \"11%2B3\", \"11%2B4\", and \"11%2B5\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"11\", \"12\", \"13\", \"14\", \"15\", and \"16\"\r\n" );
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document.write( "and if \"x+=+-16\",  then the consecutive integers are\r\n" );
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document.write( "\"x\", \"x%2B1\", \"x%2B2\", \"x%2B3\", \"x%2B4\", and \"x%2B5\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"-16\", \"-16%2B1\", \"-16%2B2\", \"-16%2B3\", \"-16%2B4\", and \"-16%2B5\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"-16\", \"-15\", \"-14\", \"-13\", \"-12\", and \"-11\"\r\n" );
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document.write( "Edwin
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