Let \(\alpha\) and \(\beta\) be the sum and the product of all the non-zero solutions of the equation \((\overset{¯}{z}{…

Let \(\alpha\) and \(\beta\) be the sum and the product of all the non-zero solutions of the equation \((\overset{¯}{z}{)}^{2}+|z|=0\), \(z\in C\). Then \(4\left({\alpha }^{2}+{\beta }^{2}\right)\) is equal to :

[JEE Main 2024, 04 Apr (Shift 1)]