# An algebra problem by Anandmay Patel

Algebra Level 4

Let $$a,b$$ be positive integers. Let $$-a,x,a$$ and $$-b,y,-a$$ be two geometric progressions.

If $$\dfrac{y}{x}$$ can be expressed as $$\dfrac{i\sqrt{b a}}{p}$$,where $$i^2=-1$$, then find the value of $$p$$.

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