document.write( "Question 564686: The difference of the squares of two consecutive negative integers is 9. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #365434 by josmiceli(19441) $\"\"$ $\"About$

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call the integers $\"+-n+\"$ and $\"+-n+-1+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+%28+-n+-+1+%29%5E2+-+%28+-n+%29%5E2+=+9+\"$
\n" ); document.write( "-----------
\n" ); document.write( " $\"+n%5E2+%2B+2n+%2B+1+-+n%5E2+=+9+\"$
\n" ); document.write( " $\"+2n+%2B+1+=+9+\"$
\n" ); document.write( " $\"+2n+=+8+\"$
\n" ); document.write( " $\"+n+=+4+\"$
\n" ); document.write( " $\"+-n+=+-4+\"$
\n" ); document.write( " $\"+-n+-+1+=+-5+\"$
\n" ); document.write( "the numbers are $\"+-4+\"$ and $\"+-5+\"$
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28-5%29%5E2+-+%28-4%29%5E2+=+25+-+16+\"$
\n" ); document.write( " $\"+25+-+16+=+9+\"$
\n" ); document.write( " \n" ); document.write( "

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