y-3/y-1

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Solution for y-3/y-1 equation: 


D( y )

y = 0

y = 0

y = 0

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

y-(3/y)-1 = 0

y-3*y^-1-1 = 0

1*y^1-3*y^-1-1*y^0 = 0

(1*y^2-1*y^1-3*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-1*y^1-3*y^0) = 0

y^1

y^2-y-3 = 0

y^2-y-3 = 0

DELTA = (-1)^2-(-3*1*4)

DELTA = 13

DELTA > 0

y = (13^(1/2)+1)/(1*2) or y = (1-13^(1/2))/(1*2)

y = (13^(1/2)+1)/2 or y = (1-13^(1/2))/2

y in { (1-13^(1/2))/2, (13^(1/2)+1)/2} 

y in { (1-13^(1/2))/2, (13^(1/2)+1)/2 }

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