Question

1/x -1/x-2=3 by quadratic formula

Answer 1

Answer:

Step-by-step explanation:

1/x-1/x-2=3

cross multiply,

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

x-2-x/x²-2x=3

-2/x²-2x=3

cross multiply,

3(x²-2x)=-2

3x²-6x=-2

3x²-6x+2=0

D=b²-4ac

  =(-6)²-4*3*2

  =36-24

  =12

x=-b±√D/2a

 =-(-6)±√12/2*3

 =6±√4*3/6

 =6±2√3/6

x=2(3±√3)/6

x=3±√3/3

∴roots of equation are 3+√3/3 and 3-√3/3