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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1*(4*x^1-7/3*x^2-1*x^0) = 0

x^1

(-7/3)*x^2+4*x-1 = 0

(-7/3)*x^2+4*x-1 = 0

DELTA = 4^2-(-1*4*(-7/3))

DELTA = 20/3

DELTA > 0

x = ((20/3)^(1/2)-4)/(2*(-7/3)) or x = (-(20/3)^(1/2)-4)/(2*(-7/3))

x = -3/14*((20/3)^(1/2)-4) or x = 3/14*((20/3)^(1/2)+4)

x in { -3/14*((20/3)^(1/2)-4), 3/14*((20/3)^(1/2)+4)} 

x in { -3/14*((20/3)^(1/2)-4), 3/14*((20/3)^(1/2)+4) }

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