Question

if someone sees it please help me

Answer 1

How many ordered pairs of integers (x,y) are there such that

x(x+5)=(y+1)(y+2)(y+3)(y+4)?

Answer 2

The only solution I can see to this would be for both sides to equal 0. On the left side, x=0,-5
on the right side, y= -1, -2, -3, -4

Therefore, there are 8 solutions.

Answer 3

Which are:
(0,-1)
(0,-2)
(0,-3)
(0,-4)
(-5,-1)
(-5,-2)
(-5,-3)
(-5,-4)