SOLUTION: How do you go about solving this word problem? Find three consecutive integers such that four times the sum of all three is two times the product of the larger two.

Question 645228: How do you go about solving this word problem? Find three consecutive integers such that four times the sum of all three is two times the product of the larger two.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find three consecutive integers such that four times the sum of all three is two times the product of the larger two.
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1st: x-1
2nd: x
3rd: x+1
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Equation:
4(3x) = 2(x(x+1))
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12x = 2x^2 + 2x
----
6x = x^2 + x
x^2 - 5x = 0
Factor:
x(x-5) = 0
x = 0 or x = 5
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If x = 0 the integers are: -1,0,1
If x = 5 the integers are: 4,5,6
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Cheers,
Stan H.
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