-12=v+27/v

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Solution for -12=v+27/v equation: 


D( v )

v = 0

v = 0

v = 0

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

-12 = v+27/v // - v+27/v

-v-(27/v)-12 = 0

-v-27*v^-1-12 = 0

-1*v^1-27*v^-1-12*v^0 = 0

(-1*v^2-12*v^1-27*v^0)/(v^1) = 0 // * v^2

v^1*(-1*v^2-12*v^1-27*v^0) = 0

v^1

-v^2-12*v-27 = 0

-v^2-12*v-27 = 0

DELTA = (-12)^2-(-27*(-1)*4)

DELTA = 36

DELTA > 0

v = (36^(1/2)+12)/(-1*2) or v = (12-36^(1/2))/(-1*2)

v = -9 or v = -3

v in { -9, -3} 

v in { -9, -3 }

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