document.write( "Question 616635: find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 6 times the third.\r
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Algebra.Com's Answer #387801 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi, 
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document.write( "find three  positive integers
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document.write( " What is the smallest integer? 
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document.write( " What is the second smallest integer? (n+1)
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document.write( " What is the largest integer? (n+2)
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document.write( "product of the first and third, minus the second, is 1 more than 6 times the third.
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document.write( " n(n+2) - (n+1) = 6(n+2)+1
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document.write( " n^2 -5n -14 = 0
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document.write( "(n+2)(n-7) = 0,  (tossing out the negative solution for n)
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document.write( "the three consecutive positive integers are: 7,8,9
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document.write( "CHECKING our Answer***
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document.write( " 7*9 - 8 = 55 = 6*9 + 1
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