SOLUTION: If the product of 2 consecutive positive odd integers is 15 more than 3 times their sum, the the larger integer is..?

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Question 631008: If the product of 2 consecutive positive odd integers is 15 more than 3 times their sum, the the larger integer is..?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the product of 2 consecutive positive odd integers is 15 more than 3 times their sum, the the larger integer is..?
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1st: 2x-1
2nd: 2x+1
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Equation:
(2x-1)(2x+1) = 3(2x-1+2x+1) + 15
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4x^2-1 = 12x + 15
4x^2 - 12x -16 = 0
x^2 - 3x - 4 = 0
(x-4)(x+1) = 0
Positive solution:
x = 4
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1st: 2x-1 = 7
2nd: 2x+1 = 9
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Cheers,
Stan H.
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