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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 \n" );
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Algebra.Com's Answer #422020 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " |