Question

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

Answer 1

x+1/x=5

x^2+1/x=5

x^2=5x-1

then,

x^2+1/x^2

5x-1+1/5x-1

Answer 2

Step-by-step explanation:

( x + 1 /x ) = 5

We need to find x2 + 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 / x2 = 23

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