
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 parametric equations of two curves are respectively
\[
\begin{cases}
& x=\sqrt{5}\cos \theta \\
& y=\sin \theta
\end{cases}
(0\leqslant \theta < \pi)
\]
and
\[
\begin{cases}
& x=\dfrac{5}{4}{{t}^{2}} \\
& y=t
\end{cases}
(t\in\mathbb{R})
\],
their intersection point coordinates are __________.

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