SOLUTION: Find three consecutive even integers such that three times the sum of the smallest and largest integers is the same as the square of the middle number.

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Question 948344: Find three consecutive even integers such that three times the sum of the smallest and largest integers is the same as the square of the middle number.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find three consecutive even integers such that three times the sum of the smallest and largest integers is the same as the square of the middle number.
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1st: 2x-2
2nd: 2x
3rd: 2x+2
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Equation:
3(4x) = 4x^2
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3x = x^2
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x(x-3) = 0
x = 0 or x = 3
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If x = 0,
1st = -2
2nd = 0
3rd = 2
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If x = 3,
1st = 4
2nd = 6
3rd = 8
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Cheers,
Stan H.
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