Question

if x-1/x=400, find the value of x4+1/x4

Answer 1

now,solve this further

Answer 2

Answer:

The value of x^4 + 1/x^ 4 is 25600320000.

Step-by-step explanation:

Given,

x - 1/x = 400

Apply algebraic formula,

( a + b) ^ 2 = a² + b² + 2 a b

x² + 1/x² = 400² + 1 = 160000 + 1 = 160001

x^4 + 1/x^ 4 = (160001)² - 1 = 25600320001  - 1 = 25600320000.

The value of x^4 + 1/x^ 4 is 25600320000.