Question

find the root 1/x -1/x-2=3​

Answer 1

Please find the attachment

Answer 2

Answer:

the roots are x=1 - 1/√3 OR x=1+1/√3

Step-by-step explanation:

1/x- 1/(x-2 ) = 3

x - 2 - x = 3*x( x-2 )

-2 = 3x²- 6x

3x²-6x+2=0

3x²-6x+3–1=0 (writing 2=3–1)

3*( x²-2x+1)-1=0

( x²-2x+1)-1/3=0

(x-1)²- ( 1/√3)²=0

OR ( x-1+1/√3 )* ( x-1-1/√3 )=0

Thus x=1 - 1/√3 OR x=1+1/√3