
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 curves $y = 5ax^2 - 10$ and $y = 8 - 5bx^2$ intersect the coordinate axes in exactly four points, and these four points are the vertices of a kite with an area of $24$. Determine $a+b$.
A) 1.5  
B) 1.95  
C) 2.025  
D) 2.5  
E) 3

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