6/v+1=4/10v

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Solution for 6/v+1=4/10v equation:


D( v )

v = 0

v = 0

v = 0

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

6/v+1 = (4/10)*v // - (4/10)*v

6/v-((4/10)*v)+1 = 0

(-2/5)*v+6/v+1 = 0

6*v^-1-2/5*v^1+1*v^0 = 0

(1*v^1-2/5*v^2+6*v^0)/(v^1) = 0 // * v^2

v^1*(1*v^1-2/5*v^2+6*v^0) = 0

v^1

(-2/5)*v^2+v+6 = 0

(-2/5)*v^2+v+6 = 0

DELTA = 1^2-(4*6*(-2/5))

DELTA = 53/5

DELTA > 0

v = ((53/5)^(1/2)-1)/(2*(-2/5)) or v = (-(53/5)^(1/2)-1)/(2*(-2/5))

v = -5/4*((53/5)^(1/2)-1) or v = 5/4*((53/5)^(1/2)+1)

v in { -5/4*((53/5)^(1/2)-1), 5/4*((53/5)^(1/2)+1)}

v in { -5/4*((53/5)^(1/2)-1), 5/4*((53/5)^(1/2)+1) }

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