x-(1/x) = 2 হলে x⁴+(1/x⁴)= কত?
সমাধান
সঠিক উত্তর: 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
=(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
