1/X=4/3X+1

Solution for 1/X=4/3X+1 equation:

D( X )

X = 0

X = 0

X = 0

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

1/X = (4/3)*X+1 // - (4/3)*X+1

1/X-((4/3)*X)-1 = 0

(-4/3)*X+1/X-1 = 0

1*X^-1-4/3*X^1-1*X^0 = 0

(1*X^0-4/3*X^2-1*X^1)/(X^1) = 0 // * X^2

X^1*(1*X^0-4/3*X^2-1*X^1) = 0

X^1

(-4/3)*X^2-X+1 = 0

(-4/3)*X^2-X+1 = 0

DELTA = (-1)^2-(1*4*(-4/3))

DELTA = 19/3

DELTA > 0

X = ((19/3)^(1/2)+1)/(2*(-4/3)) or X = (1-(19/3)^(1/2))/(2*(-4/3))

X = -3/8*((19/3)^(1/2)+1) or X = -3/8*(1-(19/3)^(1/2))

X in { -3/8*((19/3)^(1/2)+1), -3/8*(1-(19/3)^(1/2))} 

X in { -3/8*((19/3)^(1/2)+1), -3/8*(1-(19/3)^(1/2)) }