document.write( "Question 301632: The product of two consecutive positive odd integers is one less than twice their sum. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #216296 by Fombitz(32388) $\"\"$ $\"About$

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Let N and N+2 be your odd integers.
\n" ); document.write( " $\"N%28N%2B2%29=2%28N%2BN%2B2%29-1\"$
\n" ); document.write( " $\"N%5E2%2B2N=2%282N%2B2%29-1\"$
\n" ); document.write( " $\"N%5E2%2B2N=4N%2B3\"$
\n" ); document.write( " $\"N%5E2-2N-3=0\"$
\n" ); document.write( " $\"%28N-3%29%28N%2B1%29=0\"$
\n" ); document.write( "Since we're only looking for the positive answer, we won't solve the negative solution.
\n" ); document.write( " $\"N-3=0\"$
\n" ); document.write( " $\"N=3\"$
\n" ); document.write( "The two integers are then 3 and 5.
\n" ); document.write( "Verify the solution by using the original equation. \n" ); document.write( "

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