
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
Let $a$, $b$, $c$ be the three sides of $\triangle ABC$, and the equation with respect to $x$ given by $(a^{2}+bc)x^{2}+2 \sqrt {b^{2}+c^{2}}x+1=0$ has two equal real roots. Find the degree of angle $A$.

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