y-5/y-1

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Solution for y-5/y-1 equation: 


D( y )

y = 0

y = 0

y = 0

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

y-(5/y)-1 = 0

y-5*y^-1-1 = 0

1*y^1-5*y^-1-1*y^0 = 0

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

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

y^1

y^2-y-5 = 0

y^2-y-5 = 0

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

DELTA = 21

DELTA > 0

y = (21^(1/2)+1)/(1*2) or y = (1-21^(1/2))/(1*2)

y = (21^(1/2)+1)/2 or y = (1-21^(1/2))/2

y in { (1-21^(1/2))/2, (21^(1/2)+1)/2} 

y in { (1-21^(1/2))/2, (21^(1/2)+1)/2 }

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