10v-30/v-3

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Solution for 10v-30/v-3 equation: 


D( v )

v = 0

v = 0

v = 0

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

10*v-(30/v)-3 = 0

10*v-30*v^-1-3 = 0

10*v^1-30*v^-1-3*v^0 = 0

(10*v^2-3*v^1-30*v^0)/(v^1) = 0 // * v^2

v^1*(10*v^2-3*v^1-30*v^0) = 0

v^1

10*v^2-3*v-30 = 0

10*v^2-3*v-30 = 0

DELTA = (-3)^2-(-30*4*10)

DELTA = 1209

DELTA > 0

v = (1209^(1/2)+3)/(2*10) or v = (3-1209^(1/2))/(2*10)

v = (1209^(1/2)+3)/20 or v = (3-1209^(1/2))/20

v in { (3-1209^(1/2))/20, (1209^(1/2)+3)/20} 

v in { (3-1209^(1/2))/20, (1209^(1/2)+3)/20 }

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