x-1/x-2+x-3/x-4=10/3

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Solution for x-1/x-2+x-3/x-4=10/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+x-(1/x)-(3/x)-4-2 = 10/3 // - 10/3

x+x-(1/x)-(3/x)-(10/3)-4-2 = 0

x+x-x^-1-3*x^-1-10/3-4-2 = 0

2*x^1-4*x^-1-28/3*x^0 = 0

(2*x^2-28/3*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-28/3*x^1-4*x^0) = 0

x^1

2*x^2+(-28/3)*x-4 = 0

2*x^2+(-28/3)*x-4 = 0

DELTA = (-28/3)^2-(-4*2*4)

DELTA = 1072/9

DELTA > 0

x = ((1072/9)^(1/2)-(-28/3))/(2*2) or x = (-(-28/3)-(1072/9)^(1/2))/(2*2)

x = ((1072/9)^(1/2)+28/3)/4 or x = (28/3-(1072/9)^(1/2))/4

x in { (28/3-(1072/9)^(1/2))/4, ((1072/9)^(1/2)+28/3)/4} 

x in { (28/3-(1072/9)^(1/2))/4, ((1072/9)^(1/2)+28/3)/4 }

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