SOLUTION: find two consecutive integers such that the square of the sum of the two integers is 8 more than the first integer.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find two consecutive integers such that the square of the sum of the two integers is 8 more than the first integer.       Log On


   



Question 954855: find two consecutive integers such that the square of the sum of the two integers is 8 more than the first integer.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: x, (x+1)

(x + (x+1))^2 = x + 8
(2x+1)^2 = x + 8
4x^2 + 4x + 1 = x + 8
4x^2 + 3x - 7 = 0
(x - 1)(4x + 7) = 0

The integers are 1 and 2.