Answer to Question #266016 in Linear Algebra for S.S

Question

Solve for positive x_{1} , x 2 ,...,x 2021 :

3x1 75/x_{2} = 30 - (x_{1} - 2x_{2} + x_{2021}) ^ 2

3x₂ - 75/x_{3} = 30 - (x_{2} - 2x_{3} + x_{1}) ^ 2

3x_{3} + 75/x_{4} = 30 - (x_{3} - 2x_{4} + x_{2}) ^ 2

x 2020 + 75/x_{2021} = 30 - (x_{2020} - 2x_{2021} + x_{2019}) ^ 2

3x2021 75/x_{1} = 30 - (x_{2021} - 2x_{1} + x_{2020}) ^ 2