v/v^2-5v

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Solution for v/v^2-5v equation:


D( v )

v^2 = 0

v^2 = 0

v^2 = 0

1*v^2 = 0 // : 1

v^2 = 0

v = 0

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

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

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

1*v^-1-5*v^1 = 0

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

v^1*(1*v^0-5*v^2) = 0

v^1

1-5*v^2 = 0

1-5*v^2 = 0

DELTA = 0^2-(-5*1*4)

DELTA = 20

DELTA > 0

v = (20^(1/2)+0)/(-5*2) or v = (0-20^(1/2))/(-5*2)

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

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

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

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