Question 238357: The product of two consecutive odd intergers is 1 less than four times their sum. Find the two intergers. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The product of two consecutive odd integers is 1 less than four times their sum. Find the two integers.
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1st: 2x-1
2nd: 2x+1
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Equation:
(2x-1)(2x+1) = 4[(2x-1)+(2x+1)]-1
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4x^2-1 = 4[4x]-1
4x^2 = 16x
x^2-x = 0
x(x-1) = 0
x = 0 or x = 1
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If x = 0
1st: 2x-1 = -1
2nd: 2x+1 = 1
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If x = 1
1st: 2x-1 = 1
2nd: 2x+1 = 3
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Cheers,
Stan H.
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