7/(y^2-y-2)=1/(y-2)-2/(y+1)

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Solution for 7/(y^2-y-2)=1/(y-2)-2/(y+1) equation:


D( y )

y^2-y-2 = 0

y+1 = 0

y-2 = 0

y^2-y-2 = 0

y^2-y-2 = 0

y^2-y-2 = 0

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

DELTA = 9

DELTA > 0

y = (9^(1/2)+1)/(1*2) or y = (1-9^(1/2))/(1*2)

y = 2 or y = -1

y+1 = 0

y+1 = 0

y+1 = 0 // - 1

y = -1

y-2 = 0

y-2 = 0

y-2 = 0 // + 2

y = 2

y in (-oo:-1) U (-1:2) U (2:+oo)

7/(y^2-y-2) = 1/(y-2)-(2/(y+1)) // - 1/(y-2)-(2/(y+1))

7/(y^2-y-2)-(1/(y-2))+2/(y+1) = 0

7/(y^2-y-2)-(y-2)^-1+2/(y+1) = 0

7/(y^2-y-2)-1/(y-2)+2/(y+1) = 0

y^2-y-2 = 0

y^2-y-2 = 0

y^2-y-2 = 0

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

DELTA = 9

DELTA > 0

y = (9^(1/2)+1)/(1*2) or y = (1-9^(1/2))/(1*2)

y = 2 or y = -1

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

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

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

2*(y-2)-1*(y+1)+7 = 0

2*y-y-4+6 = 0

y+2 = 0

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

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

y+2 = 0

y+2 = 0 // - 2

y = -2

y = -2

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