Question

if x - 1/x=5,find the value of x² +1/x²​

Answer 1

Given :

( x + 1 /x ) = 5

We need to find X2+ 1 / x2

( x + 1 / x )2 = 25

= x2 + 1 / x2 + 2 (x)(1)(1/x) =25

= x2 + 1/x2 + 2 = 25

= X2 + 1 / x2 = 25 – 2

= X2+ 1 / x2=23

Hence X2+ 1 / x2= 23

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Answer 2

x=-1

x²+1/x²

-1²+1/-1²

1+1/1

2/1

2

x=5

x²+1/x²

5²+1/5²

25+1/25

625+1/25

626/25