Question

If x+1\x=5 then find the value of x square +1\x square

Answer 1

_______________________________
x + 1 / x = 5
_______________________________

on squaring both side, we get

( 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

_______________________________
Your Answer : 23
_______________________________

Answer 2

the correct answer is: 23
squaring [x + (1/x)= 5]
x^2 + (1/x^2) + 2(x)(1/x) = 25
x^2 + (1/x^2) + 2 = 25
x^2 + (1/x^2) = 23