(v^-3v-40)/(4v^-24v-64)

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Solution for (v^-3v-40)/(4v^-24v-64) equation: 


D( v )

v = 0

4*v^-24*v-64 = 0

v = 0

v = 0

4*v^-24*v-64 = 0

4*v^-24*v-64 = 0

4*v^-23 = 64 // : 4

v^-23 = 16

-23 < 0

1/(v^23) = 16 // * v^23

1 = 16*v^23 // : 16

1/16 = v^23

v^23 = 1/16 // ^ 1/23

v = (1/16)^(1/23)

v in (-oo:0) U (0:(1/16)^(1/23)) U ((1/16)^(1/23):+oo)

(v^-3*v-40)/(4*v^-24*v-64) = 0

(v^-2-40)/(4*v^-23-64) = 0

1*v^-2 = 40 // : 1

v^-2 = 40

-2 < 0

1/(v^2) = 40 // * v^2

1 = 40*v^2 // : 40

1/40 = v^2

v^2 = 1/40 // ^ 1/2

abs(v) = (1/40)^(1/2)

v = (1/40)^(1/2) or v = -(1/40)^(1/2)

v in { (1/40)^(1/2), -(1/40)^(1/2) }

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