(2)/(y-2)-3y=(4y-1)/(y-2)

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Solution for (2)/(y-2)-3y=(4y-1)/(y-2) equation: 


D( y )

y-2 = 0

y-2 = 0

y-2 = 0

y-2 = 0 // + 2

y = 2

y in (-oo:2) U (2:+oo)

2/(y-2)-(3*y) = (4*y-1)/(y-2) // - (4*y-1)/(y-2)

2/(y-2)-((4*y-1)/(y-2))-(3*y) = 0

2/(y-2)-((4*y-1)/(y-2))-3*y = 0

2/(y-2)+(-1*(4*y-1))/(y-2)-3*y = 0

2/(y-2)+(-1*(4*y-1))/(y-2)+(-3*y*(y-2))/(y-2) = 0

2-1*(4*y-1)-3*y*(y-2) = 0

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

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

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

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

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

DELTA = 40

DELTA > 0

y = (40^(1/2)-2)/(-3*2) or y = (-40^(1/2)-2)/(-3*2)

y = (2*10^(1/2)-2)/(-6) or y = (-2*10^(1/2)-2)/(-6)

(y-((2*10^(1/2)-2)/(-6)))*(y-((-2*10^(1/2)-2)/(-6))) = 0

((y-((2*10^(1/2)-2)/(-6)))*(y-((-2*10^(1/2)-2)/(-6))))/(y-2) = 0

((y-((2*10^(1/2)-2)/(-6)))*(y-((-2*10^(1/2)-2)/(-6))))/(y-2) = 0 // * y-2

(y-((2*10^(1/2)-2)/(-6)))*(y-((-2*10^(1/2)-2)/(-6))) = 0

( y-((-2*10^(1/2)-2)/(-6)) )

y-((-2*10^(1/2)-2)/(-6)) = 0 // + (-2*10^(1/2)-2)/(-6)

y = (-2*10^(1/2)-2)/(-6)

( y-((2*10^(1/2)-2)/(-6)) )

y-((2*10^(1/2)-2)/(-6)) = 0 // + (2*10^(1/2)-2)/(-6)

y = (2*10^(1/2)-2)/(-6)

y in { (-2*10^(1/2)-2)/(-6), (2*10^(1/2)-2)/(-6) }

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