
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 quadratic function $y=x^{2}+\left(2m+1\right)x+m^{2}-1$ has two intersection points with the $x$-axis.<br/>$(1)$ Find the range of values for $m$;<br/>$(2)$ Write down a value of $m$ that satisfies the condition, and find the intersection points of the quadratic function with the $x$-axis.

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