document.write( "Question 712953: the product of two negative consecutive integers is 56. Find the integer \n" ); document.write( "

Algebra.Com's Answer #438230 by MathLover1(20850) $\"\"$ $\"About$

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Consecutive integers are integers that follow in sequence, each number being $\"1\"$ more than the previous number, represented by $\"n\"$ , $\"n+%2B1\"$ , $\"n+%2B+2\"$ , $\"+n+%2B+3\"$ , ..., where $\"n\"$ is any integer. \r
\n" ); document.write( "\n" ); document.write( "in your case we have two $\"negative\"$ consecutive integers; so, let them be $\"n\"$ and $\"n+%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( "their the product is $\"56\"$ ; so, we have\r
\n" ); document.write( "\n" ); document.write( " $\"n%28n+%2B1%29=56\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n%5E2+%2Bn=56\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n%5E2+%2Bn-56=0\"$ .......use quadratic formula to solve for $\"n\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A%28-56%29+%29%29%2F%282%2A1%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n+=+%28-1+%2B-+sqrt%28+1%2B224%29%29%2F2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n+=+%28-1+%2B-+sqrt%28+225%29%29%2F2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n+=+%28-1+%2B-+15%29%2F2+\"$ ...we will need only $\"negative\"$ solution for $\"n\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n+=+%28-1+-+15%29%2F2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n+=+%28-16%29%2F2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28n+=+-8+%29\"$ ...first number\r
\n" ); document.write( "\n" ); document.write( " $\"n+%2B1=-8%2B1=highlight%28-7%29\"$ ...second number
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