
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
1. Given a parabola $y^{2}=2px(p > 0)$ whose focus lies on the line $2x-y-4=0$, find the value of $p$;
2. Given that the asymptotic equations of a hyperbola are $y=± \dfrac {3}{4}x$ and the equations of its directrices are $x=± \dfrac {16}{5}$, find the standard equation of the hyperbola.

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