document.write( "Question 161180: I would like to find out steps of how to get the product of two consecutive intergers that equal forty-two and two consecutive intergers that equal thirty.
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Algebra.Com's Answer #118727 by checkley77(12844) $\"\"$ $\"About$

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LET X & X+1 BE THE 2 CONSECUTIVE INTEGERS.
\n" ); document.write( "X(X+1)=42
\n" ); document.write( "X^2+X-42=0
\n" ); document.write( "(X+7)(X-6)=0
\n" ); document.write( "X-6=0
\n" ); document.write( "X=6 FOR THE SMALLER INTEGER.
\n" ); document.write( "6=1=7 FOR THE LARGEST INTEGER.
\n" ); document.write( "PROOF:
\n" ); document.write( "6*7=42
\n" ); document.write( "----------------------------------------
\n" ); document.write( "X & X+1
\n" ); document.write( "X(X+1)=30
\n" ); document.write( "X^2+X-30=0
\n" ); document.write( "(X+6)(X-5)=0
\n" ); document.write( "X-5=0
\n" ); document.write( "X=5 THE SMALLER INTEGER.
\n" ); document.write( "5+1=6 FOR THE LARGER INTEGER.
\n" ); document.write( "PROOF:
\n" ); document.write( "5*6=30
\n" ); document.write( "30=30 \n" ); document.write( "

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