4/3x^-2/3-2/3x^-1/3

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Solution for 4/3x^-2/3-2/3x^-1/3 equation:


D( x )

x = 0

x = 0

x = 0

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

((4/3)*x^-2)/3-(((2/3)*x^-1)/3) = 0

(-2/9)*x^-1+((4/3)*x^-2)/3 = 0

4/9*x^-2-2/9*x^-1 = 0

t_1 = x^-1

4/9*t_1^2-2/9*t_1^1 = 0

4/9*t_1^2-2/9*t_1 = 0

DELTA = (-2/9)^2-(0*4/9*4)

DELTA = 4/81

DELTA > 0

t_1 = ((4/81)^(1/2)+2/9)/(4/9*2) or t_1 = (2/9-(4/81)^(1/2))/(4/9*2)

t_1 = 1/2 or t_1 = 0

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x należy do O

t_1 = 1/2

x^-1-1/2 = 0

1*x^-1 = 1/2 // : 1

x^-1 = 1/2

-1 < 0

1/(x^1) = 1/2 // * x^1

1 = 1/2*x^1 // : 1/2

2 = x^1

x = 2

x = 2

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