Question

Ღ(¯`◕‿◕´¯) ♫ ♪ ♫ find roots of quadratic equation 1/x - 1/x-2 = 3 ♫ ♪ ♫ (¯`◕‿◕´¯)ღ

Answer 1

Answer:

1/x-1/x-2=3

then

1/x=3+1/x-2

1/x=3x-5/x-2

x-2=3x^2-5x

3x^2-6x+2=0

vitta`s method

x=6+√36-24/6

x=6+√12/6 and x=6-√12/6

are the roots