Question

please solve this 1/x - 1/x-2 =3​

Answer 1

Answer:

1/x and -1/x can be cancelled so

-1-2=3

Answer 2

Roots of the equation are ( 3 ± √15 ) / 3

Step-by-step explanation:

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

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

=> - 2 / ( x² - 2x ) = 3

=> - 2 = 3( x² - 2x)

=> - 2 = 3x² - 6x

=> 3x² - 6x + 2 = 0

Using Quadratic formula

=> x = ( - b ± √D) / 2a

Comaring 3x² - 6x - 2 = 0 with ax² + bx + c = 0 we get

a = 3

b = - 6

c = - 2

D = b² - 4ac = ( - 6 )² - 4(3)(-2) = 36 + 24 = 60

=> x = ( 6 ± √60 ) / 6

=> x = ( 6 ± 2√15 ) / 6

=> x = ( 3 ± √15 ) / 3

Therefore the roots of the equation are ( 3 ± √15 ) / 3