5u-2/u+12

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Solution for 5u-2/u+12 equation: 


D( u )

u = 0

u = 0

u = 0

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

5*u-(2/u)+12 = 0

5*u-2*u^-1+12 = 0

5*u^1-2*u^-1+12*u^0 = 0

(5*u^2+12*u^1-2*u^0)/(u^1) = 0 // * u^2

u^1*(5*u^2+12*u^1-2*u^0) = 0

u^1

5*u^2+12*u-2 = 0

5*u^2+12*u-2 = 0

DELTA = 12^2-(-2*4*5)

DELTA = 184

DELTA > 0

u = (184^(1/2)-12)/(2*5) or u = (-184^(1/2)-12)/(2*5)

u = (2*46^(1/2)-12)/10 or u = (-2*46^(1/2)-12)/10

u in { (-2*46^(1/2)-12)/10, (2*46^(1/2)-12)/10} 

u in { (-2*46^(1/2)-12)/10, (2*46^(1/2)-12)/10 }

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