Lower bound of x 6 x^6

Algebra Level 2

Real number x satisfies the relation x 5 x^5 - x 3 x^3 +x=a for some real number a. Then x 6 x^6 can not be less than a certain number. If that number be of the form pa+q where p and q are constant integers, then what is the value of 3p+q?


The answer is 5.

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