10/2x-1-3/x=3

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Solution for 10/2x-1-3/x=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

(10/2)*x-(3/x)-1 = 3 // - 3

(10/2)*x-(3/x)-3-1 = 0

(10/2)*x-3*x^-1-3-1 = 0

5*x^1-3*x^-1-4*x^0 = 0

(5*x^2-4*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-4*x^1-3*x^0) = 0

x^1

5*x^2-4*x-3 = 0

5*x^2-4*x-3 = 0

DELTA = (-4)^2-(-3*4*5)

DELTA = 76

DELTA > 0

x = (76^(1/2)+4)/(2*5) or x = (4-76^(1/2))/(2*5)

x = (2*19^(1/2)+4)/10 or x = (4-2*19^(1/2))/10

x in { (4-2*19^(1/2))/10, (2*19^(1/2)+4)/10} 

x in { (4-2*19^(1/2))/10, (2*19^(1/2)+4)/10 }

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