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

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


D( y )

y+2 = 0

3-y = 0

y+2 = 0

y+2 = 0

y+2 = 0 // - 2

y = -2

3-y = 0

3-y = 0

3-y = 0 // - 3

-y = -3 // * -1

y = 3

y in (-oo:-2) U (-2:3) U (3:+oo)

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

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

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

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

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

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

y-2*y^2-y^2-2*y-1+6 = 0

5-3*y^2-y = 0

5-3*y^2-y = 0

5-3*y^2-y = 0

DELTA = (-1)^2-(-3*4*5)

DELTA = 61

DELTA > 0

y = (61^(1/2)+1)/(-3*2) or y = (1-61^(1/2))/(-3*2)

y = (61^(1/2)+1)/(-6) or y = (1-61^(1/2))/(-6)

(y-((61^(1/2)+1)/(-6)))*(y-((1-61^(1/2))/(-6))) = 0

((y-((61^(1/2)+1)/(-6)))*(y-((1-61^(1/2))/(-6))))/((3-y)*(y+2)) = 0

((y-((61^(1/2)+1)/(-6)))*(y-((1-61^(1/2))/(-6))))/((3-y)*(y+2)) = 0 // * (3-y)*(y+2)

(y-((61^(1/2)+1)/(-6)))*(y-((1-61^(1/2))/(-6))) = 0

( y-((1-61^(1/2))/(-6)) )

y-((1-61^(1/2))/(-6)) = 0 // + (1-61^(1/2))/(-6)

y = (1-61^(1/2))/(-6)

( y-((61^(1/2)+1)/(-6)) )

y-((61^(1/2)+1)/(-6)) = 0 // + (61^(1/2)+1)/(-6)

y = (61^(1/2)+1)/(-6)

y in { (1-61^(1/2))/(-6), (61^(1/2)+1)/(-6) }

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