
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 $f(x)=(a+1)x^{2}+4ax-3$.
(I) When $a > 0$, if the equation $f(x)=0$ has one root greater than $1$ and one root less than $1$, find the range of values for $a$.
(II) When $x \in [0,2]$, the maximum value is obtained at $x=2$, find the range of values for the real number $a$.

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