SOLUTION: the product of two consecutive positive integers is 41 more than their sum. Find the integers.

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Question 439923: the product of two consecutive positive integers is 41 more than their sum. Find the integers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the product of two consecutive positive integers is 41 more than their sum. Find the integers.
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Equation:
x(x+1) = x+x+1+41
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x^2+x = 2x+42
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x^2-x-42 = 0
Factor:
(x-7)(x+6) = 0
Positive solution:
x = 7
x+1 = 8
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Cheers,
Stan H.