Question

the roots of the equation 1/x - 1/x-2 =3 are A) 3+√5/2 B) 3+√3/3 C)3+√5/3 D)3+√3/2​

Answer 1

Answer:

The question is wrong.

Here 1/x cancels each other

Answer 2

Answer:

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

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

=> -2/x²-2x =3

=> -2 = 3x²-6x

=> 3x²-6x +2 = 0

now,

x= -b±√(b²-4ac)/ 2a

= 6±√(36-24)/ 6

= (6±√ 12)/6

=( 6±2√3)/6

= 2( 3±√3)/6

= 3±√3/3

hence the correct answer is option b.