x-3/x+6

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Solution for x-3/x+6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(3/x)+6 = 0

x-3*x^-1+6 = 0

1*x^1-3*x^-1+6*x^0 = 0

(1*x^2+6*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+6*x^1-3*x^0) = 0

x^1

x^2+6*x-3 = 0

x^2+6*x-3 = 0

DELTA = 6^2-(-3*1*4)

DELTA = 48

DELTA > 0

x = (48^(1/2)-6)/(1*2) or x = (-48^(1/2)-6)/(1*2)

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

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

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

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