4x-8/x-2=3

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Solution for 4x-8/x-2=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(8/x)-2 = 3 // - 3

4*x-(8/x)-3-2 = 0

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

4*x^1-8*x^-1-5*x^0 = 0

(4*x^2-5*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-5*x^1-8*x^0) = 0

x^1

4*x^2-5*x-8 = 0

4*x^2-5*x-8 = 0

DELTA = (-5)^2-(-8*4*4)

DELTA = 153

DELTA > 0

x = (153^(1/2)+5)/(2*4) or x = (5-153^(1/2))/(2*4)

x = (3*17^(1/2)+5)/8 or x = (5-3*17^(1/2))/8

x in { (5-3*17^(1/2))/8, (3*17^(1/2)+5)/8} 

x in { (5-3*17^(1/2))/8, (3*17^(1/2)+5)/8 }

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