1.
If the domain of the function log5(18xx277)\log_5(18x - x^2 - 77) is (α,β)(\alpha, \beta) and the domain of the function log(x1)(2x2+3x2x23x4)\log_{(x-1)}\left(\frac{2x^2 + 3x - 2}{x^2 - 3x - 4}\right) is (γ,δ)(\gamma, \delta), then α2+β2+γ2\alpha^2 + \beta^2 + \gamma^2 is equal to: