x-(1/x) = 2 হলে x⁴+(1/x⁴)= কত?

A 30

B 31

C 32

D 34

Solution

Correct Answer: Option D

x⁴+(1/x⁴)
=(x²)²+(1/x²)²
={x²+(1/x²)}²
=[{x-(1/x²)}²+2x(1/x)]²-2
=(2)²+2]²-2
=(4+2)²-2
=6²-2
=36-2
=34

Practice More Questions on Our App!

Download our app for free and access thousands of MCQ questions with detailed solutions