2x+3/x-3=5

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Solution for 2x+3/x-3=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+3/x-3 = 5 // - 5

2*x+3/x-5-3 = 0

2*x^1+3*x^-1-8*x^0 = 0

(2*x^2-8*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-8*x^1+3*x^0) = 0

x^1

2*x^2-8*x+3 = 0

2*x^2-8*x+3 = 0

DELTA = (-8)^2-(2*3*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)+8)/(2*2) or x = (8-40^(1/2))/(2*2)

x = (2*10^(1/2)+8)/4 or x = (8-2*10^(1/2))/4

x in { (8-2*10^(1/2))/4, (2*10^(1/2)+8)/4} 

x in { (8-2*10^(1/2))/4, (2*10^(1/2)+8)/4 }

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