u-4/u+6

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Solution for u-4/u+6 equation: 


D( u )

u = 0

u = 0

u = 0

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

u-(4/u)+6 = 0

u-4*u^-1+6 = 0

1*u^1-4*u^-1+6*u^0 = 0

(1*u^2+6*u^1-4*u^0)/(u^1) = 0 // * u^2

u^1*(1*u^2+6*u^1-4*u^0) = 0

u^1

u^2+6*u-4 = 0

u^2+6*u-4 = 0

DELTA = 6^2-(-4*1*4)

DELTA = 52

DELTA > 0

u = (52^(1/2)-6)/(1*2) or u = (-52^(1/2)-6)/(1*2)

u = (2*13^(1/2)-6)/2 or u = (-2*13^(1/2)-6)/2

u in { (-2*13^(1/2)-6)/2, (2*13^(1/2)-6)/2} 

u in { (-2*13^(1/2)-6)/2, (2*13^(1/2)-6)/2 }

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