Given the Fibonacci sequence with f0=f1=1and for n≥1,fn+1=fn+fn−1, find all real solutions to the equation: x2024=f2023x+f2022.
Source: Mathematics Regional Olympiad of Mexico Southeast 2023 P4
Tags: algebra, Fibonacci
Given the Fibonacci sequence with f0=f1=1and for n≥1,fn+1=fn+fn−1, find all real solutions to the equation: x2024=f2023x+f2022.