Prove That the Equation $2 x ^ { 2 } + y ^ { 2 } = 14$

question 90

Essay

Prove that the equation $2 x ^ { 2 } + y ^ { 2 } = 14$ has no positive integer solutions.

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Definitions:

Continuous Reinforcement

A learning schedule in which every correct response is followed by a reward, facilitating rapid learning.

Scheduled Reinforcement

A strategy in behavior modification that involves delivering reinforcement according to a predetermined schedule.

Intermittent Reinforcement

A conditioning schedule in which a reward or punishment (reinforcement) is not administered every time the desired response is performed.

Intrinsic Interest

Motivation driven by an interest or enjoyment in the task itself, rather than external pressures or rewards.