2/3v-4/v=1

Solution for 2/3v-4/v=1 equation:

D( v )

v = 0

v = 0

v = 0

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

(2/3)*v-(4/v) = 1 // - 1

(2/3)*v-(4/v)-1 = 0

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

2/3*v^1-4*v^-1-1*v^0 = 0

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

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

v^1

(2/3)*v^2-v-4 = 0

(2/3)*v^2-v-4 = 0

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

DELTA = 35/3

DELTA > 0

v = ((35/3)^(1/2)+1)/(2*(2/3)) or v = (1-(35/3)^(1/2))/(2*(2/3))

v = 3/4*((35/3)^(1/2)+1) or v = 3/4*(1-(35/3)^(1/2))

v in { 3/4*(1-(35/3)^(1/2)), 3/4*((35/3)^(1/2)+1)} 

v in { 3/4*(1-(35/3)^(1/2)), 3/4*((35/3)^(1/2)+1) }