document.write( "Question 560148: find three consecutive intergers such that the product of the second and third is 56 \n" ); document.write( "

Algebra.Com's Answer #363704 by josmiceli(19441) $\"\"$ $\"About$

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Call the integers $\"n\"$ , $\"n%2B1\"$ , and $\"n%2B2\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+%28+n%2B1+%29%2A%28+n%2B2+%29+=+56+\"$
\n" ); document.write( " $\"+n%5E2+%2B+3n+%2B+2+=+56+\"$
\n" ); document.write( " $\"+n%5E2+%2B+3n+-+54+=+0+\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+1+\"$
\n" ); document.write( " $\"+b+=+3+\"$
\n" ); document.write( " $\"+c+=+-54+\"$
\n" ); document.write( " $\"n+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-54%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"n+=+%28-3+%2B-+sqrt%28+9+%2B+216+%29%29+%2F+2+\"$
\n" ); document.write( " $\"n+=+%28-3+%2B-+sqrt%28+225+%29%29+%2F+2+\"$
\n" ); document.write( " $\"n+=+%28+-3+%2B+15+%29+%2F+2+\"$
\n" ); document.write( " $\"n+=+6+\"$ ( I'll ignore the negative root of $\"225\"$ )
\n" ); document.write( " $\"+n+%2B+1+=+7+\"$
\n" ); document.write( " $\"+n+%2B+2+=+8+\"$
\n" ); document.write( "The consecutive numbers are 6,7,and 8
\n" ); document.write( " \n" ); document.write( "

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