Question

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

Answer:

23

Step-by-step explanation:

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

x^2+(1/x)^2+(2×x×1/x)=25

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

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

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

Answer 2

Answer:

17

Step-by-step explanation:

x+1/x=5

x=1/4

then

(1/4)^2+1/(1/4)^2

(1/16)+1/(1/16)

(17/16)/(1/16)

(17×16)/(1×16)

272/16

17