1-2/y=3/y^2

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Solution for 1-2/y=3/y^2 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-(2/y) = 3/(y^2) // - 3/(y^2)

1-(2/y)-(3/(y^2)) = 0

1-2*y^-1-3*y^-2 = 0

t_1 = y^-1

1-3*t_1^2-2*t_1^1 = 0

1-3*t_1^2-2*t_1 = 0

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

DELTA = 16

DELTA > 0

t_1 = (16^(1/2)+2)/(-3*2) or t_1 = (2-16^(1/2))/(-3*2)

t_1 = -1 or t_1 = 1/3

t_1 = -1

y^-1+1 = 0

1*y^-1 = -1 // : 1

y^-1 = -1

-1 < 0

1/(y^1) = -1 // * y^1

1 = -1*y^1 // : -1

-1 = y^1

y = -1

t_1 = 1/3

y^-1-1/3 = 0

1*y^-1 = 1/3 // : 1

y^-1 = 1/3

-1 < 0

1/(y^1) = 1/3 // * y^1

1 = 1/3*y^1 // : 1/3

3 = y^1

y = 3

y in { -1, 3 }

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