Question

if x+1/x=4 then x4+1/x4=?

Answer 1

Hi ,

It is given that ,

x + 1/x = 4 ---( 1 )

Do the square of equation ( 1 ),

( x + 1/x )² = 4²

x² + 1/x² + 2 = 16

x² + 1/x² = 16 - 2

x² + 1/x² = 14 --( 2 )

Again do the square of equation ( 2 ),


( x² + 1/x² )² = 14²

x⁴ + 1/x⁴ + 2 = 196

x⁴ + 1/x⁴ = 196 - 2

= 194

I hope this helps you.

:)

Answer 2

Step-by-step explanation:

x^4+1/x^4

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

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

(x^4+1/x^4) = (14)^2 - 2

(x^4+1/x^4) = 196 - 2

(x^4+1/x^4) = 194