y+4/y-2-y-3/3y-6

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Solution for y+4/y-2-y-3/3y-6 equation: 


D( y )

y = 0

y = 0

y = 0

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

y-y-((3/3)*y)+4/y-6-2 = 0

y-y-y+4/y-6-2 = 0

4*y^-1-1*y^1-8*y^0 = 0

(4*y^0-1*y^2-8*y^1)/(y^1) = 0 // * y^2

y^1*(4*y^0-1*y^2-8*y^1) = 0

y^1

4-y^2-8*y = 0

4-y^2-8*y = 0

DELTA = (-8)^2-(-1*4*4)

DELTA = 80

DELTA > 0

y = (80^(1/2)+8)/(-1*2) or y = (8-80^(1/2))/(-1*2)

y = (4*5^(1/2)+8)/(-2) or y = (8-4*5^(1/2))/(-2)

y in { (4*5^(1/2)+8)/(-2), (8-4*5^(1/2))/(-2)} 

y in { (4*5^(1/2)+8)/(-2), (8-4*5^(1/2))/(-2) }

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