-10/9X^-4/3-20/9X^-1/3=0

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Solution for -10/9X^-4/3-20/9X^-1/3=0 equation:


D( X )

X = 0

X = 0

X = 0

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

((-10/9)*X^-4)/3-(((20/9)*X^-1)/3) = 0

(-20/27)*X^-1+((-10/9)*X^-4)/3 = 0

-20/27*X^-1-10/27*X^-4 = 0

t_1 = X^-1

-10/27*t_1^4-20/27*t_1^1 = 0

-10/27*t_1^4-20/27*t_1 = 0

-10/27*t_1*(t_1^3+2) = 0

1*t_1^3 = -2 // : 1

t_1^3 = -2

t_1^3 = -2 // ^ 1/3

t_1 = -2^(1/3)

(-10*t_1)/27 = 0

-10/27*t_1 = 0 // : -10/27

t_1 = 0

t_1 = -2^(1/3)

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

1*X^-1 = -2^(1/3) // : 1

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

-1 < 0

1/(X^1) = -2^(1/3) // * X^1

1 = -2^(1/3)*X^1 // : -2^(1/3)

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

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

t_1 = 0

X^-1+0 = 0

X^-1 = 0

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

X^-1 = 0

X należy do O

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

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