document.write( "Question 679675: \r
\n" ); document.write( "\n" ); document.write( "there are 3 consecutive positive odd integers. the difference between the squares of the largest and smallest is 9 less than the square of the middle integer. use a complete algebraic solution to find the integer
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Algebra.Com's Answer #422020 by checkley79(3341)\"\" \"About 
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LET X, X+2 & X+4 BE THE 3 INTEGERS.
\n" ); document.write( "(X+4)^2-X^2=(X+2)^2-9
\n" ); document.write( "X^2+8X+16-X^2=X^2+4X+4-9
\n" ); document.write( "8X+16=X^2+4X-5
\n" ); document.write( "X^2+4X-8X-5-16=0
\n" ); document.write( "X^2-4X-21=0
\n" ); document.write( "(X-7)(X+3)=0
\n" ); document.write( "X-7=0
\n" ); document.write( "X=7 ANS.
\n" ); document.write( "7+2=9 ANS.
\n" ); document.write( "7+4=11 ANS.
\n" ); document.write( "PROOF:
\n" ); document.write( "11^2-7^2=9^2-9
\n" ); document.write( "121-49=81-9
\n" ); document.write( "72=72
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