7/v=4v-1/5v

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Solution for 7/v=4v-1/5v equation:


D( v )

v = 0

v = 0

v = 0

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

7/v = 4*v-((1/5)*v) // - 4*v-((1/5)*v)

(1/5)*v-(4*v)+7/v = 0

(1/5)*v-4*v+7/v = 0

7*v^-1-19/5*v^1 = 0

(7*v^0-19/5*v^2)/(v^1) = 0 // * v^2

v^1*(7*v^0-19/5*v^2) = 0

v^1

(-19/5)*v^2+7 = 0

(-19/5)*v^2+7 = 0

DELTA = 0^2-(4*7*(-19/5))

DELTA = 532/5

DELTA > 0

v = ((532/5)^(1/2)+0)/(2*(-19/5)) or v = (0-(532/5)^(1/2))/(2*(-19/5))

v = -5/38*(532/5)^(1/2) or v = 5/38*(532/5)^(1/2)

v in { -5/38*(532/5)^(1/2), 5/38*(532/5)^(1/2)}

v in { -5/38*(532/5)^(1/2), 5/38*(532/5)^(1/2) }

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