SOLUTION: Determine three consecutive odd integers such that the product of the first two integers is equal to the sum of all three integers?

Question 615066: Determine three consecutive odd integers such that the product of the first two integers is equal to the sum of all three integers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine three consecutive odd integers such that the product of the first two integers is equal to the sum of all three integers?
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1st: 2x-1
2nd: 2x+1
3rd: 2x+3
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Equation:
(2x-1)(2x+1) = 6x+3
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4x^2-1 = 6x+3
4x^2-6x -4 = 0
2x^2 - 3x -2 = 0
--------
2x^2-4x+x-2 = 0
2x(x-2) + (x-2) = 0
(x-2)(2x+1) = 0
x = 2 or x = -1/2
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If x = 2
1st = 3
2nd = 5
3td = 7
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If x = -1/2
2x-1 is not odd
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Solution: 3,5,7
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Cheers,
Stan H.
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