document.write( "Question 994563: The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 time the square of the smaller one. Find the even number \n" ); document.write( "
Algebra.Com's Answer #613643 by MathTherapy(10555)\"\" \"About 
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\n" ); document.write( "The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 time the square of the smaller one. Find the even number
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Let smallest integer be S
\n" ); document.write( "Then others are: S + 2, and S + 4
\n" ); document.write( "We then get: \"%28S+%2B+2%29%5E2+%2B+%28S+%2B+4%29%5E2+=+4S%5E2+-+12\"
\n" ); document.write( "\"S%5E2+%2B+4S+%2B+4+%2B+S%5E2+%2B+8S+%2B+16+=+4S%5E2+-+12\"
\n" ); document.write( "\"2S%5E2+%2B+12S+%2B+20+=+4S%5E2+-+12\"
\n" ); document.write( "\"0+=+4S%5E2+-+2S%5E2+-+12S+-+12+-+20\"
\n" ); document.write( "\"0+=+2S%5E2+-+12S+-+32\"
\n" ); document.write( "\"2%28S%5E2+-+6S+-+16%29+=+2%280%29\" ------- Factoring out GCF, 2
\n" ); document.write( "\"S%5E2+-+6S+-+16+=+0\"
\n" ); document.write( "(S - 8)(S + 2) = 0
\n" ); document.write( "S, or smallest integer = \"highlight_green%288%29\" OR \"highlight_green%28S+=+-+2%29\"\r
\n" ); document.write( "\n" ); document.write( "You should be able to find the others. \n" ); document.write( "
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