2x+4/x-4=5

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Solution for 2x+4/x-4=5 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x+4/x-4 = 5 // - 5

2*x+4/x-5-4 = 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-(2*4*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+9)/(2*2) or x = (9-49^(1/2))/(2*2)

x = 4 or x = 1/2

x in { 1/2, 4}

x in { 1/2, 4 }

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