Question 335481
let the two cosequtive integers be x & x+1
..
x+x+1 = (x+1)^2-16
2x+1=x^2+2x+1-16
add -2x to both sides
2x+1-2x=x^2+2x-2x-16+1
1=x^2+1-16
add -1
x^2-16=0
(x+4)(x-4)=0
x=-4 or +4
The integers are -4,-5 OR 4,5