
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 set $A={x|ax^{2}+bx+1=0}(a∈R,b∈R)$, and set $B={-1,1}$.
(I) If $B⊆A$, find the value of the real number $a$;
(II) If $A∩B≠∅$, find the value of $a^{2}-b^{2}+2a$.

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