show that the square of any positive integer cannot be written in tne form of 5q+2 or 5q+3. for any integer q plz don't send any links as it is first time.

Let a be any positive integer and b = 5.
Then a = 5m + r for some integer m ≥ 0
And r = 0, 1, 2, 3, 4, 5 because 0 ≤ r < 3
Therefore, a = 5m or 5m + 1 or 5m + 2 or 5m + 3 or 5m + 4
 
 
 
 
Hence, it can be said that the square of any positive integer is either of the form 5q or 5q + 1 or 5q + 4 and not of the form of 5q+2 and 5q+3.

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Let X be any positive integer 
b=5
By EDL
a=5q + r
 
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