Find all values of $x$ that satisfy \[\frac{x^2}{x+1} \ge \frac{2}{x-1} + \frac{5}{4}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all values of $x$ that satisfy \[\frac{x^2}{x+1} \ge \frac{2}{x-1} + \frac{5}{4}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(-1, 1) \cup [3, \infty)
Find all values of $x$ that satisfy \[\frac{x^2}{x+1} \ge \frac{2}{x-1} + \frac{5}{4}.\]
train