adamov 

Thank you for all the inputs. So after differentiating I got this: This is what I should solve to 0 I looked into this Newton-Raphson method, its really interesting and could provide a really good approximation of root this function in a couple of steps but I should differentiate this again, and it makes it way too complicated. only the first part looked like this: wouldn’t be more efficient just increasing/decreasing the value of x in a cycle In the original equation until the value of y won’t get any smaller? Whole numbers are fine for me, I don’t need any decimals.

doen't that equate out to 100?

16+22+25+22+11+4=100

tulanch 

doen't that equate out to 100? 16+22+25+22+11+4=100

NO, it does not
you are missing the absolute value

tulanch 

doen't that equate out to 100? 16+22+25+22+11+4=100

And remember that Newton-Raphson can only be applied to a differentiable function, and well - this one is not differentiable.