2u-6/u-3

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Solution for 2u-6/u-3 equation: 


D( u )

u = 0

u = 0

u = 0

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

2*u-(6/u)-3 = 0

2*u-6*u^-1-3 = 0

2*u^1-6*u^-1-3*u^0 = 0

(2*u^2-3*u^1-6*u^0)/(u^1) = 0 // * u^2

u^1*(2*u^2-3*u^1-6*u^0) = 0

u^1

2*u^2-3*u-6 = 0

2*u^2-3*u-6 = 0

DELTA = (-3)^2-(-6*2*4)

DELTA = 57

DELTA > 0

u = (57^(1/2)+3)/(2*2) or u = (3-57^(1/2))/(2*2)

u = (57^(1/2)+3)/4 or u = (3-57^(1/2))/4

u in { (3-57^(1/2))/4, (57^(1/2)+3)/4} 

u in { (3-57^(1/2))/4, (57^(1/2)+3)/4 }

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