Let αθ and βθ be the distinct roots of 2x2 + (cosθ)x –1 = 0, θ ∈ (0, 2π). If m and M are the minimum and the maximum values of \(\alpha_{\theta}^{4}+\beta_{\theta}^{4}\), then 16(M + m) equals :

1
24 
2
25 
3
27 
4
17 

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