
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 $\tan α$ and $\tan β$ are the two roots of the equation $6x^{2}-5x+1=0$, with $0 < α < \dfrac {π}{2}$ and $π < β < \dfrac {3π}{2}$, find the values of $\tan (α+β)$ and $(α+β)$.

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