3/x=9/3x-1

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Solution for 3/x=9/3x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x = (9/3)*x-1 // - (9/3)*x-1

3/x-((9/3)*x)+1 = 0

3/x-3*x+1 = 0

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

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

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

x^1

x-3*x^2+3 = 0

x-3*x^2+3 = 0

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

DELTA = 37

DELTA > 0

x = (37^(1/2)-1)/(-3*2) or x = (-37^(1/2)-1)/(-3*2)

x = (37^(1/2)-1)/(-6) or x = (37^(1/2)+1)/6

x in { (37^(1/2)-1)/(-6), (37^(1/2)+1)/6} 

x in { (37^(1/2)-1)/(-6), (37^(1/2)+1)/6 }

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