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?
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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
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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.