(12/x^2+x-2)-(x+3/x-1)=(1-x/x+2)

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Solution for (12/x^2+x-2)-(x+3/x-1)=(1-x/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-(3/x)+12/(x^2)-2+1 = 1-(x/x)+2 // - 1-(x/x)+2

x-x-(3/x)+12/(x^2)+x/x-2-2-1+1 = 0

x-x-3*x^-1+12/(x^2)+x/x-2-2-1+1 = 0

12*x^-2-3*x^-1-3 = 0

t_1 = x^-1

12*t_1^2-3*t_1^1-3 = 0

12*t_1^2-3*t_1-3 = 0

DELTA = (-3)^2-(-3*4*12)

DELTA = 153

DELTA > 0

t_1 = (153^(1/2)+3)/(2*12) or t_1 = (3-153^(1/2))/(2*12)

t_1 = (3*17^(1/2)+3)/24 or t_1 = (3-3*17^(1/2))/24

t_1 = (3-3*17^(1/2))/24

x^-1-((3-3*17^(1/2))/24) = 0

1*x^-1 = (3-3*17^(1/2))/24 // : 1

x^-1 = (3-3*17^(1/2))/24

-1 < 0

1/(x^1) = (3-3*17^(1/2))/24 // * x^1

1 = ((3-3*17^(1/2))/24)*x^1 // : (3-3*17^(1/2))/24

24*(3-3*17^(1/2))^-1 = x^1

x = 24*(3-3*17^(1/2))^-1

t_1 = (3*17^(1/2)+3)/24

x^-1-((3*17^(1/2)+3)/24) = 0

1*x^-1 = (3*17^(1/2)+3)/24 // : 1

x^-1 = (3*17^(1/2)+3)/24

-1 < 0

1/(x^1) = (3*17^(1/2)+3)/24 // * x^1

1 = ((3*17^(1/2)+3)/24)*x^1 // : (3*17^(1/2)+3)/24

24*(3*17^(1/2)+3)^-1 = x^1

x = 24*(3*17^(1/2)+3)^-1

x in { 24*(3-3*17^(1/2))^-1, 24*(3*17^(1/2)+3)^-1 }

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