Question

If (x+1/x)=5, then( x^2+1/x^2 )= ? *​

Answer 1

Answer:

23

Step-by-step explanation:

Given :

( x + 1 /x ) = 5

We need to find x2 + 1 / x2

( x + 1 / x )2 = 25

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

= x2 + 1/x2 + 2 = 25

= x2 + 1 / x2 = 25 – 2

= x2 + 1 / x2=23

Hence x2  + 1 / x2 = 23

Answer 2

Answer:

x ^ 2 + 1 / (x ^ 2) = 23

Step-by-step explanation:

Given :

(x + 1 / x) = 5

We need to find x² + 1/x²

(x + 1 / x) ^ 2 = 25

= x² +1/x² + 2(x)(1/x) = 25

= x² + 1/x² + 2 = 25

= x² + 1/ x² = 25-2

= x² + 1/ x²=23

Hence x ^ 2 + 1 / (x ^ 2) = 23

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