-2/v+6=-1/2v+12-2

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Solution for -2/v+6=-1/2v+12-2 equation:


D( v )

v = 0

v = 0

v = 0

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

6-2/v = (-1/2)*v-2+12 // - (-1/2)*v-2+12

2-((-1/2)*v)-2/v-12+6 = 0

(1/2)*v-2/v-12+2+6 = 0

1/2*v^1-2*v^-1-4*v^0 = 0

(1/2*v^2-4*v^1-2*v^0)/(v^1) = 0 // * v^2

v^1*(1/2*v^2-4*v^1-2*v^0) = 0

v^1

(1/2)*v^2-4*v-2 = 0

(1/2)*v^2-4*v-2 = 0

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

DELTA = 20

DELTA > 0

v = (20^(1/2)+4)/(2*(1/2)) or v = (4-20^(1/2))/(2*(1/2))

v = 2*5^(1/2)+4 or v = 4-2*5^(1/2)

v in { 4-2*5^(1/2), 2*5^(1/2)+4}

v in { 4-2*5^(1/2), 2*5^(1/2)+4 }

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