Question

ifxpower2+1/xpower2=3; find the value of x+1/x.
​

Answer 1

Answer:

2

Step-by-step explanation:

( x^2 + 1 ) / x^2 = 3

( x^2 + 1 ) = 3 ( x^2 )

( x^2 + 1 ) = 3x^2

x^2 - 3x^2 + 1 = 0

- x^2 + 1 = 0

- x^2 = - 1

multiply - 1 on both sides,

x^2 = 1

x = 1

( x + 1 ) / x = ( 1 + 1 ) / 1

                = 2 / 1

( x + 1 ) / x = 2