(x-2/x)-(7/3)-(x-2/x^2)

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Solution for (x-2/x)-(7/3)-(x-2/x^2) equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

x-x-(2/x)+2/(x^2)-(7/3) = 0

x-x-2*x^-1+2/(x^2)-7/3 = 0

2*x^-2-2*x^-1-7/3 = 0

t_1 = x^-1

2*t_1^2-2*t_1^1-7/3 = 0

2*t_1^2-2*t_1-7/3 = 0

DELTA = (-2)^2-(-7/3*2*4)

DELTA = 68/3

DELTA > 0

t_1 = ((68/3)^(1/2)+2)/(2*2) or t_1 = (2-(68/3)^(1/2))/(2*2)

t_1 = ((68/3)^(1/2)+2)/4 or t_1 = (2-(68/3)^(1/2))/4

t_1 = (2-(68/3)^(1/2))/4

x^-1-((2-(68/3)^(1/2))/4) = 0

1*x^-1 = (2-(68/3)^(1/2))/4 // : 1

x^-1 = (2-(68/3)^(1/2))/4

-1 < 0

1/(x^1) = (2-(68/3)^(1/2))/4 // * x^1

1 = ((2-(68/3)^(1/2))/4)*x^1 // : (2-(68/3)^(1/2))/4

4*(2-(68/3)^(1/2))^-1 = x^1

x = 4*(2-(68/3)^(1/2))^-1

t_1 = ((68/3)^(1/2)+2)/4

x^-1-(((68/3)^(1/2)+2)/4) = 0

1*x^-1 = ((68/3)^(1/2)+2)/4 // : 1

x^-1 = ((68/3)^(1/2)+2)/4

-1 < 0

1/(x^1) = ((68/3)^(1/2)+2)/4 // * x^1

1 = (((68/3)^(1/2)+2)/4)*x^1 // : ((68/3)^(1/2)+2)/4

4*((68/3)^(1/2)+2)^-1 = x^1

x = 4*((68/3)^(1/2)+2)^-1

x in { 4*(2-(68/3)^(1/2))^-1, 4*((68/3)^(1/2)+2)^-1 }

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