If x + 1/x = 5, find the value of x2 + 1/x2

Given :

( x + 1 /x ) = 5

We need to find x+ 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 / x= 23

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5 Comments

  1. Thanks

  2. I am so happy and thank you so much

  3. Thakur Divankar Pundir

    Thank you and I am very confuse to this question and I check to your answer and I understanding.

  4. Thank you so much

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