NTSE Government Jobs Exams

Find all pairs(x,y) of real numbers such that
16^[(x^2)+y]+16^[x+(y^2)]=1

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NTSE Other Question

What is the HCF of (a-6),(a-8) and (a-8) and (a-10) A natural No n is chosen strictly between two consecutive perfect squares.The smaller of these two squares is obtained by subtracting k from n and the larger one is obtained by adding L to n.Prove that n-kL is a perfect square.