3-(3/y)/(1-y)-1

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Solution for 3-(3/y)/(1-y)-1 equation:


D( y )

y = 0

1-y = 0

y = 0

y = 0

1-y = 0

1-y = 0

1-y = 0 // - 1

-y = -1 // * -1

y = 1

y in (-oo:0) U (0:1) U (1:+oo)

3-((3/y)/(1-y))-1 = 0

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

(-3*y^-1)/(1-y)-1+3 = 0

(-3*y^-1)/(1-y)+(-1*(1-y))/(1-y)+(3*(1-y))/(1-y) = 0

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

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

2-2*y-3*y^-1 = 0

2-2*y-3*y^-1 = 0

2*y^0-2*y^1-3*y^-1 = 0

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

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

y^1

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

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

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

DELTA = -20

DELTA < 0

y in { }

1 = 0

1/(1-y) = 0

1/(1-y) = 0 // * 1-y

1 = 0

y belongs to the empty set

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