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Rajat Khanduja

Can, we proceed this way.

If it is a perfect square, essentially, its roots have been reduced to 2 from 4.

Then, if p and q are the roots, then,

p.p.q.q = 1 , 2p+2q = -a , 2p.p + 2q.q + 4pq = b

and another equation , summantion of roots taken three at a time = 8

So we have 4 equations and 4 variables