document.write( "Question 55896: the product of two consecutive positive integers is 288. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #37900 by venugopalramana(3286) $\"\"$ $\"About$

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the product of two consecutive positive integers is 288. Find the integers.
\n" ); document.write( "LET THE 2 NUMBERS BE N,N+1
\n" ); document.write( "N(N+1)=288
\n" ); document.write( "N^2+N-288=0
\n" ); document.write( "NOT POSSIBLE .
\n" ); document.write( "THE PROBLEM SHOULD BE PRODUCT OF 2 CONSECUTIVE 'EVEN'INTEGERS IS 288..THEN
\n" ); document.write( "ANY INTEGER IS N....ANY EVEN INTEGER IS 2N...NEXT EVEN INTEGER IS 2N+2
\n" ); document.write( "2N(2N+2)=288
\n" ); document.write( "4N(N+1)=288
\n" ); document.write( "N^2+N-72=0
\n" ); document.write( "N^2+9N-8N-72=0
\n" ); document.write( "N(N+9)-8(N+9)=0
\n" ); document.write( "(N-8)(N+9)=0
\n" ); document.write( "N=8
\n" ); document.write( "SO THE 2 EVEN INTEGERS ARE 2*8=16 AND 16+2=18 \n" ); document.write( "

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