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Let a,b,c be real numbers such that a+b+c = 2, and a²-b²-c² = 12. The difference between the maximum and minimum possible value of c is p/q with coprime p and q. What is p+q² ?

Answer» Let a,b,c be real numbers such that a+b+c = 2, and a²-b²-c² = 12. The difference between the maximum and minimum possible value of c is p/q with coprime p and q. What is p+q² ?


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