Why conservation of energy fails for this inelastic puck collision

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Two pucks collide on a frictionless air-hockey table. Initally, puck A is traveling at 3.5 mls and puck B is at rest. After the collision, puck A moves away at a speed of 2.5 m/s and an angle of 30.0 from the initial direction. Find the final velocity of puck B. Puck A has a mass of 3.0 kg and puck B has a mass of 5.0 kg.

I know how to do the problem, but we can't we apply the conservation of energy methods because it is an elastic collision?
 
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In inelastic collisions you can't use conservation of energy.