1/t-1=3/t^2-1

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Solution for 1/t-1=3/t^2-1 equation:


D( t )

t^2 = 0

t = 0

t^2 = 0

t^2 = 0

1*t^2 = 0 // : 1

t^2 = 0

t = 0

t = 0

t = 0

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

1/t-1 = 3/(t^2)-1 // - 3/(t^2)-1

1/t-(3/(t^2))-1+1 = 0

1/t-3*t^-2-1+1 = 0

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

t_1 = t^-1

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

t_1-3*t_1^2 = 0

DELTA = 1^2-(-3*0*4)

DELTA = 1

DELTA > 0

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

t_1 = 0 or t_1 = 1/3

t_1 = 0

t^-1+0 = 0

t^-1 = 0

1*t^-1 = 0 // : 1

t^-1 = 0

t należy do O

t_1 = 1/3

t^-1-1/3 = 0

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

t^-1 = 1/3

-1 < 0

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

1 = 1/3*t^1 // : 1/3

3 = t^1

t = 3

t = 3

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