Congruent squares

It is well known that round marbles may be put on squares !
I can put my marbles as two equal squares or as two inequal squares
(true squares with at least 4 marbles).
How many marbles ?
Smallest Solution

Note : Equivallent problems to "find two squares whose arithmetical mean is a square" :
 - Find three squares in arithmetic sequence.
 - Find a number whose added or substracted to one square gives two other squares.

Methods and formulas.

 

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