Please help me. Lol I'm like desperate at this point. (Algebra)

Given these sets of equations, prove whether or not the point (x_n, y_n, z_n) converges where n approaches infinity. If it does converge, determine the point of convergence denoted by (x, y, z) in exact form. 

 

Hint: rearrange the equations.

 

x_n+1 = (2y²_n+1 - z²_n + 2x_n + 7) / 4

_yn+1 = (2z²_n+1 - x²_n + √(52y_n) + 7) / √208

z_n+1 = (-2x²_n+1 + y²_n + √(28z_n) - 7) / 2√28