(6/2x-1)-(3/x-4)

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Solution for (6/2x-1)-(3/x-4) equation: 


D( x )

x = 0

x = 0

x = 0

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

(6/2)*x-(3/x)-1+4 = 0

(6/2)*x-3*x^-1-1+4 = 0

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

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

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

x^1

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

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

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

DELTA = 45

DELTA > 0

x = (45^(1/2)-3)/(2*3) or x = (-45^(1/2)-3)/(2*3)

x = (3*5^(1/2)-3)/6 or x = (-3*5^(1/2)-3)/6

x in { (-3*5^(1/2)-3)/6, (3*5^(1/2)-3)/6} 

x in { (-3*5^(1/2)-3)/6, (3*5^(1/2)-3)/6 }

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