- 1
- 2
- 2
^{45}+ 2^{54} - –2

Option 2 : 2

**Given:**

x + 1/x = 2

**Formula used:**

(a + b)^{2} = a^{2} + b^{2 }+ 2ab

**Calculation:**

Our equation is x + 1/x = 2

As x is a real number, above equation satisfied only at x = 1

⇒ x^{45} + 1/x^{54} = 1 + 1

**∴ The value of x ^{45} + 1/x^{54} is 2**

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