document.write( "Question 1091834: The sum of squares of two consecutive positive numbers is 41. Find the two numbers
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Algebra.Com's Answer #706329 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "The sum of squares of two consecutive positive numbers is 41. Find the two numbers
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One number MUST be less than 7 since \"matrix%281%2C3%2C+7%5E2%2C+%22=%22%2C+49%29\". It can't be 5 & 6 since their squares total more than 41, so it must be 4 & 5.\r
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document.write( "If you wish not to go through all of that, then do the following:
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document.write( "Let smaller INTEGER be S
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document.write( "Then larger is S + 1
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document.write( "We then get:  \"matrix%281%2C3%2C+S%5E2+%2B+%28S+%2B+1%29%5E2%2C+%22=%22%2C+41%29\"
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document.write( "\"S%5E2+%2B+S%5E2+%2B+2S+%2B+1+=+41\"
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document.write( "Complete the solution for S, the smaller integer. 
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document.write( "Add 1 to S to get the larger integer. \n" );
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