document.write( "Question 258156: what is the 2 consecutive 2-digit numbers for the product 812
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #190031 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x and x+1 be consecutive integers.
\n" ); document.write( "From above, we get
\n" ); document.write( "(i) $\"x%28x%2B1%29+=+812\"$
\n" ); document.write( "distributing, we get
\n" ); document.write( "(ii) $\"x%5E2+%2B+x+=+812\"$
\n" ); document.write( "setting = 0, we get
\n" ); document.write( "(iii) $\"x%5E2+%2B+x+-+812+=+0\"$
\n" ); document.write( "factoring, we get
\n" ); document.write( "(iv) $\"%28x%2B29%29%28x-28%29+=+0+\"$
\n" ); document.write( "solving, we get
\n" ); document.write( "x = -29
\n" ); document.write( "or
\n" ); document.write( "x = 28.
\n" ); document.write( "So our two options are:
\n" ); document.write( "(-29, -28)
\n" ); document.write( "(28, 29) \n" ); document.write( "

\n" );