Let \(a, b \in R, a \neq 0\) be such that the equation, \(a x^2-2 b x+5=0\) has a repeated root \(\alpha\), which is als…

Let \(a, b \in R, a \neq 0\) be such that the equation, \(a x^2-2 b x+5=0\) has a repeated root \(\alpha\), which is also a root of the equation, \(x^2-2 b x-10=0\). If \(\beta\) is the other root of this equation, then \(\alpha^2+\beta^2\) is equal to:

[JEE Main 2020, 9 Jan (Shift 2)]