x - 1/x = 4 হলে, x4 + 1/ x4 এর মান কত?

x - 1/x = 4 হলে, x⁴ + 1/ x⁴ এর মান কত?

A 246

B 286

C 322

D 354

Solution

Correct Answer: Option C

দেয়া আছে, x - 1/x = 4
∴ x⁴ + 1/x⁴
= (x²)² + (1/x²)²
= (x² + 1/x²)² - 2 . x² . 1/x²
= (x² + 1/x²)² - 2
= {(x - 1/x)² + 2 . x . 1/x}² - 2
= (4² + 2 )² -2
= (18)² - 2
= 324 - 2
= 322

Solution

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