Euclidean division and arithmetic please helppp

[crimson narwhal]

Euclidean division and arithmetic please helppp

[sharp falcon]

Do you know the definition of the Euclidian division ?

In particular, pay close attention to the definition of the rest

[heady snow]

when I divide by (n+1)², the remainder must be 3n+4 and my quotient (n+4)

I know the rest < (n+1)²

But what can I do

@sharp falcon

[sharp falcon]

That's it, you have to find the integers n such that 3n+4 < (n+1)²

[heady snow]

I found n²-n-3>0

And that s it ?

@sharp falcon

[sharp falcon]

Yep, that's your condition (sufficient and necessary)

[heady snow]

@sharp falcon We don't need to do anything with n+4?

[sharp falcon]

Nope
Unless the question asked you to precise the rest when n²-n-3 <= 0, you don't have to

[heady snow]

Okay, thank you for your help, I really appreciate it.