An algebra problem by حسن العطية

Algebra Level 2

If \(\dfrac { { a }^{ 2 }-\dfrac { 1 }{ { b }^{ 2 } } }{ { b }^{ 2 }-\dfrac { 1 }{ { a }^{ 2 } } } =9 \), then what is the value of \( \left| \dfrac { a }{ b } \right| \)?

and \( \left| ab \right| \neq 1 \)

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