
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 a circle C₁: x² + y² = 4, a new curve C₂ is formed by keeping the ordinate of each point on the circle unchanged and multiplying the abscissa by √5.

1. Write the parametric equation of C₂.
2. Given F(-4, 0) and the parametric equation of line l as {x = -4 + √2*t, y = √2*t} (t is the parameter), the line intersects curve C₂ at points A and B. Find |AF| + |BF|.

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