Understand this is not a common, and probably not even wanted, topic on 
this group.

Trying to translate to metamath a simple problem from AIMO train dataset, 
just out of curiosity.

The problem statement is:

Let $k, l > 0$ be parameters. The parabola $y = kx^2 - 2kx + l$ intersects 
the line $y = 4$ at two points $A$ and $B$. These points are distance 6 
apart. What is the sum of the squares of the distances from $A$ and $B$ to 
the origin?

Trying to come up a direct construction of the conditions and statement to 
prove and blocking, from my ignorance most certainly, on some embarassing 
road blocks.


   1. Define function y=4
   2. Define parabola function in terms of k and l
   3. Connect 1 & 2 with points A and B
   4. Define distance between A and B
   5. Define the goal in terms of A and B 
   
Really understand this is probably a basic question and I'm offsetting my 
due dilligence, so, no problem if no one takes the time to answer this :)

Best regards,
Jorge Agra   

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