(3/v)=(3/2)+(1/4v)

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Solution for (3/v)=(3/2)+(1/4v) equation:


D( v )

v = 0

v = 0

v = 0

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

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

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

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

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

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

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

v^1

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

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

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

DELTA = 21/4

DELTA > 0

v = ((21/4)^(1/2)-(-3/2))/(2*(-1/4)) or v = (-(-3/2)-(21/4)^(1/2))/(2*(-1/4))

v = -2*((21/4)^(1/2)+3/2) or v = -2*(3/2-(21/4)^(1/2))

v in { -2*((21/4)^(1/2)+3/2), -2*(3/2-(21/4)^(1/2))}

v in { -2*((21/4)^(1/2)+3/2), -2*(3/2-(21/4)^(1/2)) }

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