x+(2/x-6)=3

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Solution for x+(2/x-6)=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+2/x-6 = 3 // - 3

x+2/x-6-3 = 0

1*x^1+2*x^-1-9*x^0 = 0

(1*x^2-9*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-9*x^1+2*x^0) = 0

x^1

x^2-9*x+2 = 0

x^2-9*x+2 = 0

DELTA = (-9)^2-(1*2*4)

DELTA = 73

DELTA > 0

x = (73^(1/2)+9)/(1*2) or x = (9-73^(1/2))/(1*2)

x = (73^(1/2)+9)/2 or x = (9-73^(1/2))/2

x in { (9-73^(1/2))/2, (73^(1/2)+9)/2} 

x in { (9-73^(1/2))/2, (73^(1/2)+9)/2 }

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