\[\alpha ,\beta \] be distinct root \[{x^2} - \left( {{t^2} - 5t + 6} \right)x + 1 = 0,t \in R\]

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alpha and beta are distinct roots of the equation x^2-(t^2-5t+6)x+1=0, an=alpha^n+beta^n. Then.. alpha and beta are distinct roots of the equation x^2-(t^2-5t+6)x+1=0, an=alpha^n+beta^n. Then..
let α, β be the distinct roots of the equation x²-(t²-5t+6)x+1=0,t ∈ R & aₙ=αⁿ+βⁿ then minimum value let α, β be the distinct roots of the equation x²-(t²-5t+6)x+1=0,t ∈ R & aₙ=αⁿ+βⁿ then minimum value
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If \[\alpha \] and \[\beta \] are the distinct roots of the equation \[{x^2} + {\left( 3 \right)^{1/ If \[\alpha \] and \[\beta \] are the distinct roots of the equation \[{x^2} + {\left( 3 \right)^{1/