Question

If x+1/x=5, then find the value of x^2+1/x^2​

Answer 1

x+1/x=5

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

[(a+b)^2= a^2+2ab+b^2

5^2=x^2+1/x^2+2

25-2=x^2+1/x^2

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

Hence 23 is the required answer..

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