Question

Let $α$ and $β$ the roots of equation $px^2 + qx - r = 0$, where $P≠ 0$. If $p,q,r$ be the consecutive term of non constant G.P and $\frac{1}{α} + \frac{1}{β} = \frac{3}{4}$ then the value of $(α - β)^2$ is:

Answer 1

The Correct Answer is: $\frac{80}{9}$