Question

If F+1/F=16find the value of p^4+1/F^4=?

Answer 1

Solution :

Given F + 1/F = 16 ---( 1 )

i ) F² + 1/F² = ( F + 1/F )² - 2

= 16² - 2

= 256 - 2

= 254 ----( 2 )

ii ) F⁴ + 1/F⁴ = ( F² + 1/F² )² - 2

= ( 254 )² - 2

= 64516 - 2

= 64514

•••••

Answer 2

Solution :-

We have,
F + 1/F = 16 ____(i)

From (i)
F² + 1/F² = ( F + 1/F )² - 2
= 16² - 2
= 256 - 2
= 254 ____(ii)

From (ii)
F⁴ + 1/F⁴ = ( F² + 1/F² )² - 2
= ( 254 )² - 2
= 64516 - 2
= 64514