FindInstance[(Abs[(
2 β)/(β +
Sqrt[-4 α + (β - γ)^2] + γ)] +
Abs[(4 α -
2 β (β +
Sqrt[-4 α + (β - γ)^2] - γ))/(\
β +
Sqrt[-4 α + (β - γ)^2] + γ)^2]) <
1, {α, β, γ}, 10]
It was running for a long time. Unfortunately no output came. Can anyone help to get it done? Also I was trying to reduce the inequality in terms of $\alpha$, $\beta$ and $\gamma$ but again same problem happened. Help to get it done, please. Note that $\alpha$, $\beta$ and $\gamma$ are complex numbers.