Question

$${ a }^{ 2 } + \frac{ 1 }{ { a }^{ 2 } } =83, { a }^{ 3 } - \frac{ 1 }{ { a }^{ 3 } } = \left( \right) !$$

Answer

[Infinite Solutions]

Solution


Multiply both sides by the Least Common Denominator: .
\[0=0\]
Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions