v-4/v-7

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Solution for v-4/v-7 equation: 


D( v )

v = 0

v = 0

v = 0

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

v-(4/v)-7 = 0

v-4*v^-1-7 = 0

1*v^1-4*v^-1-7*v^0 = 0

(1*v^2-7*v^1-4*v^0)/(v^1) = 0 // * v^2

v^1*(1*v^2-7*v^1-4*v^0) = 0

v^1

v^2-7*v-4 = 0

v^2-7*v-4 = 0

DELTA = (-7)^2-(-4*1*4)

DELTA = 65

DELTA > 0

v = (65^(1/2)+7)/(1*2) or v = (7-65^(1/2))/(1*2)

v = (65^(1/2)+7)/2 or v = (7-65^(1/2))/2

v in { (7-65^(1/2))/2, (65^(1/2)+7)/2} 

v in { (7-65^(1/2))/2, (65^(1/2)+7)/2 }

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