
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
The parabolas \(y = ax^2 - 3\) and \(y = 5 - bx^2\) intersect the coordinate axes in exactly four points, which are vertices of a kite with area 15. What is \(a+b\)?
A) 2.1  
B) 2.2  
C) 2.3  
D) 2.4

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