
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 $f(x)=x^{2}-ax+2\ln x$, where $a$ is a real number.
(1) Find the monotonic intervals of $f(x)$;
(2) If $2(e+ \frac {1}{e}) < a < \frac {20}{3}$, and $f(x)$ has two extreme points $x_{1}$, $x_{2}$ ($x_{1} < x_{2}$), find the range of $f(x_{1})-f(x_{2})$.

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