3x-5/x-6

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Solution for 3x-5/x-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(5/x)-6 = 0

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

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

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

x^1*(3*x^2-6*x^1-5*x^0) = 0

x^1

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

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

DELTA = (-6)^2-(-5*3*4)

DELTA = 96

DELTA > 0

x = (96^(1/2)+6)/(2*3) or x = (6-96^(1/2))/(2*3)

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

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

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

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