(8/y+3)-(2/y-3)=(12/y^2-9)

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Solution for (8/y+3)-(2/y-3)=(12/y^2-9) equation:


D( y )

y = 0

y^2 = 0

y = 0

y = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

8/y-(2/y)+3+3 = 12/(y^2)-9 // - 12/(y^2)-9

8/y-(2/y)-(12/(y^2))+3+3+9 = 0

8/y-2*y^-1-12*y^-2+3+3+9 = 0

6*y^-1-12*y^-2+15 = 0

t_1 = y^-1

6*t_1^1-12*t_1^2+15 = 0

6*t_1-12*t_1^2+15 = 0

DELTA = 6^2-(-12*4*15)

DELTA = 756

DELTA > 0

t_1 = (756^(1/2)-6)/(-12*2) or t_1 = (-756^(1/2)-6)/(-12*2)

t_1 = (6*21^(1/2)-6)/(-24) or t_1 = (-6*21^(1/2)-6)/(-24)

t_1 = (6*21^(1/2)-6)/(-24)

y^-1-((6*21^(1/2)-6)/(-24)) = 0

1*y^-1 = (6*21^(1/2)-6)/(-24) // : 1

y^-1 = (6*21^(1/2)-6)/(-24)

-1 < 0

1/(y^1) = (6*21^(1/2)-6)/(-24) // * y^1

1 = ((6*21^(1/2)-6)/(-24))*y^1 // : (6*21^(1/2)-6)/(-24)

-24*(6*21^(1/2)-6)^-1 = y^1

y = -24*(6*21^(1/2)-6)^-1

t_1 = (-6*21^(1/2)-6)/(-24)

y^-1-((-6*21^(1/2)-6)/(-24)) = 0

1*y^-1 = (-6*21^(1/2)-6)/(-24) // : 1

y^-1 = (-6*21^(1/2)-6)/(-24)

-1 < 0

1/(y^1) = (-6*21^(1/2)-6)/(-24) // * y^1

1 = ((-6*21^(1/2)-6)/(-24))*y^1 // : (-6*21^(1/2)-6)/(-24)

-24*(-6*21^(1/2)-6)^-1 = y^1

y = -24*(-6*21^(1/2)-6)^-1

y in { -24*(6*21^(1/2)-6)^-1, -24*(-6*21^(1/2)-6)^-1 }

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