SOLUTION: the product of two consecutive positive integers is 19 more than their sum. what are the integers

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Question 320819: the product of two consecutive positive integers is 19 more than their sum. what are 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 19 more than their sum. what are the integers
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1st: x
2nd: x+1
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Equation:
x(x+1) = x+x+1 + 19
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x^2 + x = x + x+1 + 19
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x^2 = x+20
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x^2 -x -20 = 0
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Factor:
(x-5)(x+4) = 0
x = 5 or x = -4
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If x = 5
x+1 = 6
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If x = -4
x+1 = -3
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cheers,
Stan H.