3/(y^2-3y+2)+7/(y^2-1)

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Solution for 3/(y^2-3y+2)+7/(y^2-1) equation:


D( y )

y^2-1 = 0

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

y^2-1 = 0

y^2-1 = 0

1*y^2 = 1 // : 1

y^2 = 1

y^2 = 1 // ^ 1/2

abs(y) = 1

y = 1 or y = -1

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

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

y^2-3*y+2 = 0

y^2-3*y+2 = 0

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

DELTA = 1

DELTA > 0

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

y = 2 or y = 1

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

3/(y^2-(3*y)+2)+7/(y^2-1) = 0

3/(y^2-3*y+2)+7/(y^2-1) = 0

y^2-3*y+2 = 0

y^2-3*y+2 = 0

y^2-3*y+2 = 0

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

DELTA = 1

DELTA > 0

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

y = 2 or y = 1

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

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

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

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

10*y^2-21*y+11 = 0

10*y^2-21*y+11 = 0

10*y^2-21*y+11 = 0

DELTA = (-21)^2-(4*10*11)

DELTA = 1

DELTA > 0

y = (1^(1/2)+21)/(2*10) or y = (21-1^(1/2))/(2*10)

y = 11/10 or y = 1

(y-1)*(y-11/10) = 0

((y-1)*(y-11/10))/((y-1)*(y-2)*(y^2-1)) = 0

((y-1)*(y-11/10))/((y-1)*(y-2)*(y^2-1)) = 0 // * (y-1)*(y-2)*(y^2-1)

(y-1)*(y-11/10) = 0

( y-1 )

y-1 = 0 // + 1

y = 1

( y-11/10 )

y-11/10 = 0 // + 11/10

y = 11/10

y in { 1}

y = 11/10

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