1.Let α,β\alpha, \betaα,β be the distinct roots of the equation x2+(t2−5t+6)x+1=0x^2 + (t^2 - 5t + 6) x + 1 = 0x2+(t2−5t+6)x+1=0, t∈Rt \in \mathbb{R}t∈R and an=αn+βna_n = \alpha^n + \beta^nan=αn+βn. Then the minimum value of a2023+a2025−a2024a_{2023} + a_{2025} - a_{2024}a2023+a2025−a2024 isa.−14-\dfrac{1}{4}−41b.14\dfrac{1}{4}41c.−12-\dfrac{1}{2}−21d.12\dfrac{1}{2}21Login to continueOnly logged in users canattempt or see the solution.
