2/y+3+4/y=6/2y+6

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


D( y )

y = 0

y = 0

y = 0

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

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

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

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

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

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

y^1*(6*y^0-3*y^2-3*y^1) = 0

y^1

6-3*y^2-3*y = 0

6-3*y^2-3*y = 0

DELTA = (-3)^2-(-3*4*6)

DELTA = 81

DELTA > 0

y = (81^(1/2)+3)/(-3*2) or y = (3-81^(1/2))/(-3*2)

y = -2 or y = 1

y in { -2, 1} 

y in { -2, 1 }

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