y+5/y=6

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Solution for y+5/y=6 equation: 


D( y )

y = 0

y = 0

y = 0

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

y+5/y = 6 // - 6

y+5/y-6 = 0

1*y^1+5*y^-1-6*y^0 = 0

(1*y^2-6*y^1+5*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-6*y^1+5*y^0) = 0

y^1

y^2-6*y+5 = 0

y^2-6*y+5 = 0

DELTA = (-6)^2-(1*4*5)

DELTA = 16

DELTA > 0

y = (16^(1/2)+6)/(1*2) or y = (6-16^(1/2))/(1*2)

y = 5 or y = 1

y in { 1, 5} 

y in { 1, 5 }

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