2x-4/x-3=6

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Solution for 2x-4/x-3=6 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(4/x)-3 = 6 // - 6

2*x-(4/x)-6-3 = 0

2*x-4*x^-1-6-3 = 0

2*x^1-4*x^-1-9*x^0 = 0

(2*x^2-9*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-9*x^1-4*x^0) = 0

x^1

2*x^2-9*x-4 = 0

2*x^2-9*x-4 = 0

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

DELTA = 113

DELTA > 0

x = (113^(1/2)+9)/(2*2) or x = (9-113^(1/2))/(2*2)

x = (113^(1/2)+9)/4 or x = (9-113^(1/2))/4

x in { (9-113^(1/2))/4, (113^(1/2)+9)/4} 

x in { (9-113^(1/2))/4, (113^(1/2)+9)/4 }

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