5v-10/v-6=5/2

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Solution for 5v-10/v-6=5/2 equation: 


D( v )

v = 0

v = 0

v = 0

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

5*v-(10/v)-6 = 5/2 // - 5/2

5*v-(10/v)-(5/2)-6 = 0

5*v-10*v^-1-5/2-6 = 0

5*v^1-10*v^-1-17/2*v^0 = 0

(5*v^2-17/2*v^1-10*v^0)/(v^1) = 0 // * v^2

v^1*(5*v^2-17/2*v^1-10*v^0) = 0

v^1

5*v^2+(-17/2)*v-10 = 0

5*v^2+(-17/2)*v-10 = 0

DELTA = (-17/2)^2-(-10*4*5)

DELTA = 1089/4

DELTA > 0

v = ((1089/4)^(1/2)-(-17/2))/(2*5) or v = (-(-17/2)-(1089/4)^(1/2))/(2*5)

v = 5/2 or v = -4/5

v in { -4/5, 5/2} 

v in { -4/5, 5/2 }

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