SOLUTION: the product of two consecutive integers is 5 more than their sum. find the integers.

Question 531755: the product of two consecutive integers is 5 more than their sum. find the integers.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Define the consecutive integers as: x and x+1.
x*(x+1) = x +(x+1) +5
x^2 +x = 2x +6
x^2 -1x -6 = 0
(x-3)(x+2) = 0
x = 3 or -2
.
If x = 3, then x+1 = 4
If x = -2, then x+1 = -1
.
Check these answers.
3*4 = 12
3+4 = 7
The difference is 5.
Correct.
.
-2*-1 = 2
-2-1 = -3
The difference is 5
Correct.

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