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p2+2pq+q2=1
No, all perfect square numbers are not even numbers. Eg. the square of 3 is 9. (32=9) To generalize the proof: If p is odd then p=2n+1 and p2=(2n+1)2=4n2+4n+1=2(2n2+2n)+1 So odd numbers have odd square
rutherford
If restricted to integers, then p is -1, 0 or 1. If restricted to real numbers, then any number in the interval [-1,1]. If not so restricted then any number you like.
It is not an equation, but q2 meaning q^2 represents q being multiplied by itself.