
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 that \\(x_{1}\\) and \\(x_{2}\\) are the two roots of the quadratic equation \\(x^{2}-5x-3=0\\), find:  
\\((1) x_{1}^{2}+x_{2}^{2}\\)  
\\((2) \dfrac {1}{x_{1}}- \dfrac {1}{x_{2}}\\).

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