Question

x+1/x=5,then x2+1/x2​

Answer 1

x+1/x=5

squaring on both sides ,

(x+1/x)^2=25

x^2+1/x^2+x×1/x×2=25

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

=23

Answer 2

Step-by-step explanation:

squaring(x+1/x) =5^2

x^2+1/x^2+2×x×1/x=25( we use the formula (a+b) ^2=a^2+ b^2+2ab)

x^2+1/x^2+2=25(2 x×1/x( x will be canelled)

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

x^2+1/x^2=23{ans)}