6/v+1/3=7/3v

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Solution for 6/v+1/3=7/3v equation: 


D( v )

v = 0

v = 0

v = 0

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

6/v+1/3 = (7/3)*v // - (7/3)*v

6/v-((7/3)*v)+1/3 = 0

(-7/3)*v+6/v+1/3 = 0

6*v^-1-7/3*v^1+1/3*v^0 = 0

(1/3*v^1-7/3*v^2+6*v^0)/(v^1) = 0 // * v^2

v^1*(1/3*v^1-7/3*v^2+6*v^0) = 0

v^1

(-7/3)*v^2+(1/3)*v+6 = 0

(-7/3)*v^2+(1/3)*v+6 = 0

DELTA = (1/3)^2-(4*6*(-7/3))

DELTA = 505/9

DELTA > 0

v = ((505/9)^(1/2)-(1/3))/(2*(-7/3)) or v = (-(1/3)-(505/9)^(1/2))/(2*(-7/3))

v = -3/14*((505/9)^(1/2)-1/3) or v = 3/14*((505/9)^(1/2)+1/3)

v in { -3/14*((505/9)^(1/2)-1/3), 3/14*((505/9)^(1/2)+1/3)} 

v in { -3/14*((505/9)^(1/2)-1/3), 3/14*((505/9)^(1/2)+1/3) }

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