p+1/p = 3 হলে p4+(1/p)4 = কত?

p+1/p = 3 হলে p⁴+(1/p)⁴= কত?

A 27

B 47

C 57

D 67

Solution

Correct Answer: Option B

দেওয়া আছে,
p+1/p = 3

⇒ (p+1/p)² = 3²⇒ p²+2.p.1/p+1/p²= 9
⇒ p²+1/p²= 9-2
⇒ p²+1/p²= 7
⇒ (p+1/p)²= (7)²⇒ p⁴+2p²./p²+1/p⁴= 49
⇒ p⁴+1/p⁴= 49-2
⇒ p⁴+1/p⁴= 47.

Solution

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