
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(x)=x^{2}-a\ln x-1$ and the function $F(x)=a-1- \frac {a}{1+ \sqrt {x}}$.
(I) If $f(x)$ is a monotonically increasing function on $[3,5]$, find the range of values for the real number $a$;
(II) When $a=2$, compare the size of $\frac{f(x)}{x-1}$ with $F(x)$ for $x > 0$ and $x\neq 1$.

Present the answer in LaTex format: \boxed{Your answer}
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