SOLUTION: Find three consecutive integers such that the product of the smaller and larger is one less than nine times the intermediate integer

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Question 1003444: Find three consecutive integers such that the product of the smaller and larger is one less than nine times the intermediate integer
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find three consecutive integers such that the product of the smaller and larger is one less than nine times the intermediate integer
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1st:: x-1
2nd:: x
3rd:: x+1
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Equation:
(x-1)(x+1) = 9x-1
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x^2 - 1 = 9x - 1
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x^2 -9x = 0
x(x-9) = 0
x = 0 or x = 9
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If x = 0, the numbers are -1,0,1
If x = 9, the numbers are 8,9,10
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Cheers,
Stan H.
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