4/2x=5/x+6

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Solution for 4/2x=5/x+6 equation: 


D( x )

x = 0

x = 0

x = 0

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

(4/2)*x = 5/x+6 // - 5/x+6

(4/2)*x-(5/x)-6 = 0

(4/2)*x-5*x^-1-6 = 0

2*x^1-5*x^-1-6*x^0 = 0

(2*x^2-6*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-6*x^1-5*x^0) = 0

x^1

2*x^2-6*x-5 = 0

2*x^2-6*x-5 = 0

DELTA = (-6)^2-(-5*2*4)

DELTA = 76

DELTA > 0

x = (76^(1/2)+6)/(2*2) or x = (6-76^(1/2))/(2*2)

x = (2*19^(1/2)+6)/4 or x = (6-2*19^(1/2))/4

x in { (6-2*19^(1/2))/4, (2*19^(1/2)+6)/4} 

x in { (6-2*19^(1/2))/4, (2*19^(1/2)+6)/4 }

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