I feel my IQ drops with every second I look at this excercise, that's why I ask you guys:

Given with that satisfy and

Find such that the distance to the origin is maximal/minimal

However, I can't find points that satisfy to both equations of

We can derive

(1)

(2)

(3)

From (2) we get

From (3) we get

Only seems ok. But it gives , ...scheisse

So, I can't find any that could possibly satisfy the equations, let alone

Can someone fix my brains? What's wrong here?