6/8=v-6/v

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Solution for 6/8=v-6/v equation: 


D( v )

v = 0

v = 0

v = 0

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

6/8 = v-(6/v) // - v-(6/v)

6/v-v+6/8 = 0

6*v^-1-1*v^1+3/4*v^0 = 0

(3/4*v^1-1*v^2+6*v^0)/(v^1) = 0 // * v^2

v^1*(3/4*v^1-1*v^2+6*v^0) = 0

v^1

(3/4)*v-v^2+6 = 0

(3/4)*v-v^2+6 = 0

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

DELTA = 393/16

DELTA > 0

v = ((393/16)^(1/2)-(3/4))/(-1*2) or v = (-(3/4)-(393/16)^(1/2))/(-1*2)

v = ((393/16)^(1/2)-3/4)/(-2) or v = ((393/16)^(1/2)+3/4)/2

v in { ((393/16)^(1/2)-3/4)/(-2), ((393/16)^(1/2)+3/4)/2} 

v in { ((393/16)^(1/2)-3/4)/(-2), ((393/16)^(1/2)+3/4)/2 }

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