6T^(-1/3)=(5/3)T^(2/3)

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Solution for 6T^(-1/3)=(5/3)T^(2/3) equation: 


D( T )

T = 0

T = 0

T = 0

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

6*T^(-1/3) = (5/3)*T^(2/3) // - (5/3)*T^(2/3)

6*T^(-1/3)-((5/3)*T^(2/3)) = 0

(-5/3)*T^(2/3)+6*T^(-1/3) = 0

6*T^(-1/3)-5/3*T^(2/3) = 0

t_1 = T^(1/3)

6*t_1^-1-5/3*t_1^2 = 0

t_1^-1*(6-5/3*t_1^3) = 0

-5/3*t_1^3 = -6 // : -5/3

t_1^3 = 18/5

t_1^3 = 18/5 // ^ 1/3

t_1 = (18/5)^(1/3)

1/t_1 = 0

1*t_1^-1 = 0 // : 1

t_1^-1 = 0

t_1 należy do O

t_1 = (18/5)^(1/3)

T^(1/3)-(18/5)^(1/3) = 0

1*T^(1/3) = (18/5)^(1/3) // : 1

T^(1/3) = (18/5)^(1/3)

T^(1/3) = (18/5)^(1/3) // ^ 3

T = 18/5

T = 18/5

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