1/X=6/5X+1

Solution for 1/X=6/5X+1 equation:

D( X )

X = 0

X = 0

X = 0

X in (-oo:0) U (0:+oo)

1/X = (6/5)*X+1 // - (6/5)*X+1

1/X-((6/5)*X)-1 = 0

(-6/5)*X+1/X-1 = 0

1*X^-1-6/5*X^1-1*X^0 = 0

(1*X^0-6/5*X^2-1*X^1)/(X^1) = 0 // * X^2

X^1*(1*X^0-6/5*X^2-1*X^1) = 0

X^1

(-6/5)*X^2-X+1 = 0

(-6/5)*X^2-X+1 = 0

DELTA = (-1)^2-(1*4*(-6/5))

DELTA = 29/5

DELTA > 0

X = ((29/5)^(1/2)+1)/(2*(-6/5)) or X = (1-(29/5)^(1/2))/(2*(-6/5))

X = -5/12*((29/5)^(1/2)+1) or X = -5/12*(1-(29/5)^(1/2))

X in { -5/12*((29/5)^(1/2)+1), -5/12*(1-(29/5)^(1/2))} 

X in { -5/12*((29/5)^(1/2)+1), -5/12*(1-(29/5)^(1/2)) }