Question 133737
Hi,
I'll help you out.

Let the consecutive integers be x, x+1.

Then by the given data,

x(x+1) = x + x+1 + 5
==> x^2 + x = 2x + 6
==> x^2 + x - 2x - 6 = 0
==> x^2 - x - 6 = 0
==> x^2 - 3x + 2x - 6 = 0
==> x(x - 3) + 2(x - 3) = 0
==> (x - 3) (x + 2) = 0
==> x - 3 = 0 or x + 2 = 0
==> x = 3 or x = -2
If x = 3, then other number is 4 [as (x+1)]
So the integers are 3 and 4.

If x = -2, then the other number is  = -1 [ as x+1]
So the integers are -2 and -1.

Hope this helps.

good luck!!!