(5v)/(v^2-5v-6)/v/(v-6)

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Solution for (5v)/(v^2-5v-6)/v/(v-6) equation:


D( v )

v = 0

v-6 = 0

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

v = 0

v = 0

v-6 = 0

v-6 = 0

v-6 = 0 // + 6

v = 6

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

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

v^2-5*v-6 = 0

v^2-5*v-6 = 0

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

DELTA = 49

DELTA > 0

v = (49^(1/2)+5)/(1*2) or v = (5-49^(1/2))/(1*2)

v = 6 or v = -1

v in (-oo:-1) U (-1:0) U (0:6) U (6:+oo)

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

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

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

v^2-5*v-6 = 0

v^2-5*v-6 = 0

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

DELTA = 49

DELTA > 0

v = (49^(1/2)+5)/(1*2) or v = (5-49^(1/2))/(1*2)

v = 6 or v = -1

(v+1)*(v-6) = 0

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

5*v = 0 // : 5

v = 0

v in { 0}

v belongs to the empty set

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