(18-2v^2)/(v^3+v^2-6v)

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Solution for (18-2v^2)/(v^3+v^2-6v) equation: 


D( v )

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

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

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

v^3+v^2-6*v = 0

v^3+v^2-6*v = 0

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

v^2+v-6 = 0

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

DELTA = 25

DELTA > 0

v = (25^(1/2)-1)/(1*2) or v = (-25^(1/2)-1)/(1*2)

v = 2 or v = -3

v = 0

v = 0

v in (-oo:-3) U (-3:0) U (0:2) U (2:+oo)

(18-(2*v^2))/(v^3+v^2-(6*v)) = 0

(18-2*v^2)/(v^3+v^2-6*v) = 0

v^3+v^2-6*v = 0

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

v^2+v-6 = 0

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

DELTA = 25

DELTA > 0

v = (25^(1/2)-1)/(1*2) or v = (-25^(1/2)-1)/(1*2)

v = 2 or v = -3

v*(v+3)*(v-2) = 0

(18-2*v^2)/(v*(v+3)*(v-2)) = 0

-2*v^2 = -18 // : -2

v^2 = 9

v^2 = 9 // ^ 1/2

abs(v) = 3

v = 3 or v = -3

v in { -3} 

v = 3

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