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Question 257422: The sum of two consecutive integers is 19 less than their product. Find the integers
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! The sum of two consecutive integers is 19 less than their product. Find the integers
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Let x = first of two consecutive integers
then
x+1 = second of two consecutive integers
.
x + x+1 = x(x+1) - 19
2x+1 = x^2 + x - 19
1 = x^2 - x - 19
0 = x^2 - x - 20
0 = (x-5)(x+4)
x = {-4, 5}
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Two possible answers
5 and 6
.
Or,
-4 and -3
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