X-2/x=x-4/x-6

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Solution for X-2/x=x-4/x-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

X-(2/x) = x-(4/x)-6 // - x-(4/x)-6

X-x-(2/x)+4/x+6 = 0

X-x-2*x^-1+4/x+6 = 0

2*x^-1-1*x^1+6*x^0 = 0

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

x^1*(6*x^1-1*x^2+2*x^0) = 0

x^1

6*x-x^2+2 = 0

6*x-x^2+2 = 0

DELTA = 6^2-(-1*2*4)

DELTA = 44

DELTA > 0

x = (44^(1/2)-6)/(-1*2) or x = (-44^(1/2)-6)/(-1*2)

x = (2*11^(1/2)-6)/(-2) or x = (-2*11^(1/2)-6)/(-2)

x in { (2*11^(1/2)-6)/(-2), (-2*11^(1/2)-6)/(-2)} 

x in { (2*11^(1/2)-6)/(-2), (-2*11^(1/2)-6)/(-2) }

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