
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
In the rectangular coordinate system xOy, the equation of line l is $$y=2x+ \sqrt {5}$$. Establish a polar coordinate system with the origin O as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of curve C is ρ<sup>2</sup>cos2θ+4=0.
(1) Write the rectangular coordinate equation of curve C;
(2) Given point A(0, $$\sqrt {5}$$), line l intersects curve C at points M and N. Find the value of $$\frac {1}{|AM|}+ \frac {1}{|AN|}$$.

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