2/t=t/-t6

Solution for 2/t=t/-t6 equation:

D( t )

(-t)^6 = 0

t = 0

(-t)^6 = 0

(-t)^6 = 0

1*t^6 = 0 // : 1

t^6 = 0

t = 0

t = 0

t = 0

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

2/t = t/((-t)^6) // - t/((-t)^6)

2/t-(t/((-t)^6)) = 0

2/t-t^-5 = 0

2*t^-1-t^-5 = 0

t_1 = t^-1

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

2*t_1-t_1^5 = 0

t_1*(2-t_1^4) = 0

-1*t_1^4 = -2 // : -1

t_1^4 = 2

t_1^4 = 2 // ^ 1/4

abs(t_1) = 2^(1/4)

t_1 = 2^(1/4) or t_1 = -2^(1/4)

t_1 = 0

t_1 = 0

t_1 = 2^(1/4)

t^-1-2^(1/4) = 0

1*t^-1 = 2^(1/4) // : 1

t^-1 = 2^(1/4)

-1 < 0

1/(t^1) = 2^(1/4) // * t^1

1 = 2^(1/4)*t^1 // : 2^(1/4)

1/(2^(1/4)) = t^1

t = 1/(2^(1/4))

t_1 = -2^(1/4)

t^-1+2^(1/4) = 0

1*t^-1 = -2^(1/4) // : 1

t^-1 = -2^(1/4)

-1 < 0

1/(t^1) = -2^(1/4) // * t^1

1 = -2^(1/4)*t^1 // : -2^(1/4)

1/(-2^(1/4)) = t^1

t = 1/(-2^(1/4))

t_1 = 0

t^-1+0 = 0

t^-1 = 0

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

t^-1 = 0

t należy do O

t in { 1/(2^(1/4)), 1/(-2^(1/4)) }