Question

If $ x + \frac{1}{x} = 4 $, find the value of $ x^4 + \frac{1}{x^4} $.

• A. 194
• B. 1945
• C. 190
• D. 1940

Hint:

To evaluate powers like \( x^4 + \frac{1}{x^4} \), start with known identities: - \( (x + \frac{1}{x})^2 = x^2 + \frac{1}{x^2} + 2 \) - \( (x^2 + \frac{1}{x^2})^2 = x^4 + \frac{1}{x^4} + 2 \)