x + 1/x = 4 হলে x4 + 1/x4 এর মান কত?

x + 1/x = 4 হলে x⁴ + 1/x⁴ এর মান কত?

A 79

B 194

C 192

D 195

Solution

Correct Answer: Option B

দেয়া আছে, x + 1/x = 4
এখন,
x² + 1/x²
= (x + 1/x)² - 2 . x . 1/x
= 4² - 2
= 16 - 2
= 14

∴ x⁴ + 1/x⁴
= (x²)² + (1/x²)²
= (x² + 1/x²)² - 2 . x² . 1/x²
= 14² - 2
= 196 - 2
= 194

Solution

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