1/y+4-6/y-4=12/y^2-16

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Solution for 1/y+4-6/y-4=12/y^2-16 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)

1/y-(6/y)-4+4 = 12/(y^2)-16 // - 12/(y^2)-16

1/y-(6/y)-(12/(y^2))-4+4+16 = 0

1/y-6*y^-1-12*y^-2-4+4+16 = 0

16-5*y^-1-12*y^-2 = 0

t_1 = y^-1

16-12*t_1^2-5*t_1^1 = 0

16-12*t_1^2-5*t_1 = 0

DELTA = (-5)^2-(-12*4*16)

DELTA = 793

DELTA > 0

t_1 = (793^(1/2)+5)/(-12*2) or t_1 = (5-793^(1/2))/(-12*2)

t_1 = (793^(1/2)+5)/(-24) or t_1 = (5-793^(1/2))/(-24)

t_1 = (793^(1/2)+5)/(-24)

y^-1-((793^(1/2)+5)/(-24)) = 0

1*y^-1 = (793^(1/2)+5)/(-24) // : 1

y^-1 = (793^(1/2)+5)/(-24)

-1 < 0

1/(y^1) = (793^(1/2)+5)/(-24) // * y^1

1 = ((793^(1/2)+5)/(-24))*y^1 // : (793^(1/2)+5)/(-24)

-24*(793^(1/2)+5)^-1 = y^1

y = -24*(793^(1/2)+5)^-1

t_1 = (5-793^(1/2))/(-24)

y^-1-((5-793^(1/2))/(-24)) = 0

1*y^-1 = (5-793^(1/2))/(-24) // : 1

y^-1 = (5-793^(1/2))/(-24)

-1 < 0

1/(y^1) = (5-793^(1/2))/(-24) // * y^1

1 = ((5-793^(1/2))/(-24))*y^1 // : (5-793^(1/2))/(-24)

-24*(5-793^(1/2))^-1 = y^1

y = -24*(5-793^(1/2))^-1

y in { -24*(793^(1/2)+5)^-1, -24*(5-793^(1/2))^-1 }

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