9/y+2-3/y-2=12/y^2-4

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Solution for 9/y+2-3/y-2=12/y^2-4 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)

9/y-(3/y)-2+2 = 12/(y^2)-4 // - 12/(y^2)-4

9/y-(3/y)-(12/(y^2))-2+2+4 = 0

9/y-3*y^-1-12*y^-2-2+2+4 = 0

6*y^-1-12*y^-2+4 = 0

t_1 = y^-1

6*t_1^1-12*t_1^2+4 = 0

6*t_1-12*t_1^2+4 = 0

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

DELTA = 228

DELTA > 0

t_1 = (228^(1/2)-6)/(-12*2) or t_1 = (-228^(1/2)-6)/(-12*2)

t_1 = (2*57^(1/2)-6)/(-24) or t_1 = (-2*57^(1/2)-6)/(-24)

t_1 = (2*57^(1/2)-6)/(-24)

y^-1-((2*57^(1/2)-6)/(-24)) = 0

1*y^-1 = (2*57^(1/2)-6)/(-24) // : 1

y^-1 = (2*57^(1/2)-6)/(-24)

-1 < 0

1/(y^1) = (2*57^(1/2)-6)/(-24) // * y^1

1 = ((2*57^(1/2)-6)/(-24))*y^1 // : (2*57^(1/2)-6)/(-24)

-24*(2*57^(1/2)-6)^-1 = y^1

y = -24*(2*57^(1/2)-6)^-1

t_1 = (-2*57^(1/2)-6)/(-24)

y^-1-((-2*57^(1/2)-6)/(-24)) = 0

1*y^-1 = (-2*57^(1/2)-6)/(-24) // : 1

y^-1 = (-2*57^(1/2)-6)/(-24)

-1 < 0

1/(y^1) = (-2*57^(1/2)-6)/(-24) // * y^1

1 = ((-2*57^(1/2)-6)/(-24))*y^1 // : (-2*57^(1/2)-6)/(-24)

-24*(-2*57^(1/2)-6)^-1 = y^1

y = -24*(-2*57^(1/2)-6)^-1

y in { -24*(2*57^(1/2)-6)^-1, -24*(-2*57^(1/2)-6)^-1 }

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