Question

if x = 1 / (x - 5), find the value of x + 1/x.
Pls give the process.
I will mark the most appropriate answer as brainliest. ​

Answer 1

Answer:

x - 4

Step-by-step explanation:

x = 1 / ( x - 5 )

x × ( x - 5 ) = 1

x^2 - 5x - 1 = 0

we need x + 1 / x

add 4x on both sides

x^2 - 5x + 4x -1 = 4x

x^2 - x - 1 = 4x

x^2 - 4x = x + 1

divide both sides by x

x - 4 = x + 1 / x