(9/x-3)-(3x/3)=3x/x-3

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Solution for (9/x-3)-(3x/3)=3x/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

9/x-((3*x)/3)-3 = (3*x)/x-3 // - (3*x)/x-3

9/x-((3*x)/3)-((3*x)/x)-3+3 = 0

9/x-x-3-3+3 = 0

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

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

x^1*(9*x^0-1*x^2-3*x^1) = 0

x^1

9-x^2-3*x = 0

9-x^2-3*x = 0

DELTA = (-3)^2-(-1*4*9)

DELTA = 45

DELTA > 0

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

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

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

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

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