Problem 2

Algebra Level 4

x6526x3527=0\large { \left| x \right| }^{ \frac { 6 }{ 5 } }-26{ \left| x \right| }^{ \frac { 3 }{ 5 } }-27=0 Product of real roots of the equation above can be represented as AB { -A }^{ B }, where AA is a prime number.

Find the value of A+BA+B.

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