Question

Not only ans explainaition
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Answer 1

Answer:

Solution:

It is given that,.

x+1/x = 6 ----(1)

x²+1/x² = (x+1/x)²-2

= 6² - 2

= 36 - 2

= 34 ------(2)

x⁴+1/x⁴ = (x²+1/x²)² - 2

= 34² - 2

= 1156- 2

= 1154

Therefore,.

x⁴ + 1/x⁴ = 1154

Answer 2

Step-by-step explanation:

x+1/x=6

Both side square

(x+1/x)²=(6)²

x²+1/x²+2=36

x²+1/x²=34

Again square both side

(x²+1/x²)²=(34)²

x^4+1/x^4 +2=1156

x^4+1/x^4=1154