Let the set of all values of \(p\in \mathrm{ℝ}\), for which both the roots of the equation \({x}^{2}-(p+2)x+(2p+9)=0\) a…

Let the set of all values of \(p\in \mathrm{ℝ}\), for which both the roots of the equation \({x}^{2}-(p+2)x+(2p+9)=0\) are negative real numbers, be the interval \((\alpha ,\beta ]\) Then \(\beta -2\alpha\) is equal to

[JEE Main 2025, 7 Apr (Shift 1)]