
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
Two parabolas \(y = 2ax^2 - 3\) and \(y = 5 - cx^2\) intersect the coordinate axes, and these intersections form the vertices of a kite with an area of 20. Determine \(a + c\).
A) 0.5
B) 1.0
C) 1.04
D) 1.5
E) 2.0

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