Question

If (x - 1/x) = 5, find the value of

(i) (x² + 1/x²)

(ii) (x⁴ + 1/x⁴)

Answer 1

(i) \((\text{x}^2+\frac{1}{\text{x}^2})\)

We know that,

From formula (a – b)² = a² + b² – 2ab

So, by putting the values, we get,

(ii) \((\text{x}^4+\frac{1}{\text{x}^{4}})\)

We know that,

From formula (a + b)² = a² + b² + 2ab

So, by putting the values, we get,