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If x+(1/x)=5 find x^2+(1/x^2)

Répondre :

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