Question

If u solve this I will mark u brainiest
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Answer 1

Answer:

8.

solution:-

x²+1/x²=79

find x+1/x

now,

{x+1/x}²= x²+1/x²+2(x)(1/x)

(x+1/x)²=79+2(put the value)

(x+1/x)²=81

x+1/x=√81

x+1/x=9. ans

9.

x-1/x=√3

find x²+1/x² and x⁴/1x⁴

solution:-

(x-1/x)²=x²+1/x²-2(x)/(1/x)

(x-1/x)²=x²+1/x²-2

(√3)²+2=x²+1/x²

3+2=x²+1/x²

x²+1/x²=5

now,

(x²+1/x²)²=x⁴+1/x⁴+2(x²)(1/x²)

5²=x⁴+1/x⁴+2

25-2=x⁴+1/x⁴

x⁴+1/x⁴=23