6x/x+2-6=x-23/x-2

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Solution for 6x/x+2-6=x-23/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

(6*x)/x-6+2 = x-(23/x)-2 // - x-(23/x)-2

23/x-x+(6*x)/x-6+2+2 = 0

23*x^-1-1*x^1+4*x^0 = 0

(4*x^1-1*x^2+23*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-1*x^2+23*x^0) = 0

x^1

4*x-x^2+23 = 0

4*x-x^2+23 = 0

DELTA = 4^2-(-1*4*23)

DELTA = 108

DELTA > 0

x = (108^(1/2)-4)/(-1*2) or x = (-108^(1/2)-4)/(-1*2)

x = (6*3^(1/2)-4)/(-2) or x = (-6*3^(1/2)-4)/(-2)

x in { (6*3^(1/2)-4)/(-2), (-6*3^(1/2)-4)/(-2)} 

x in { (6*3^(1/2)-4)/(-2), (-6*3^(1/2)-4)/(-2) }

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