Question

If X - 1 /X =4 find the value X ^4+ x1/x^4

Answer 1

Answer: 322

Step-by-step explanation:

x - 1/x = 4

squaring both sides,

(x - 1/x)^2 = (4)^2

x^2 + 1/x^2 - 2 = 16 [ (a-b)^2 = a^2 + b^2 - 2ab]

x^2 + 1/x^2 = 18

squaring both sides,

(x^2 + 1/x^2)^2 = (18)^2

x^4 + 1/x^4 +2 = 324 [ (a-b)^2 = a^2 + b^2 - 2ab]

x^4 + 1/x^4 = 322.

Hence, x^4 + 1/x^4 = 322

Hope this helped!

Answer 2

x=-1/3

value of x⁴+x1/x⁴=82/81