Question

if x- 1/x = 5 then find x^4 + 1/x^4 plz answer fast now plzz i will mark brainlest to those who answer to me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

SOLUTION ::

GIVEN ::

x - (1/x) = 5

Now

x² + (1/x)²

= (x - 1/x)² + 2*x*(1/x)

= 5² + 2

= 25 + 2

= 27

NOW

x⁴ + 1/x⁴

= [ x² + (1/x)²] ² - 2 × x² × (1/x)²

= 27² - 2

= 729 - 2

= 727