Question

If X = 2+ root 3 find x power 2 + 1/ x power 2​

Answer 1

❄️ Answer:-

14 is your answer.

❄️ Solution:-

If x = 2 + √3 find x^2+1/ x²

If x = 2 + √3 then 1/x = 2 - √3 (by rationalization)

and, (x + 1/x)² = x² + (1/x)² + 2x (1/x)

→ (2 + √3 + 2 - √3)² = x² + (1/x)² + 2

→ 4² - 2 = x² + (1/x)²

.°. answer = 14