3x+6/x=18

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Solution for 3x+6/x=18 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+6/x = 18 // - 18

3*x+6/x-18 = 0

3*x^1+6*x^-1-18*x^0 = 0

(3*x^2-18*x^1+6*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-18*x^1+6*x^0) = 0

x^1

3*x^2-18*x+6 = 0

3*x^2-18*x+6 = 0

DELTA = (-18)^2-(3*4*6)

DELTA = 252

DELTA > 0

x = (252^(1/2)+18)/(2*3) or x = (18-252^(1/2))/(2*3)

x = (6*7^(1/2)+18)/6 or x = (18-6*7^(1/2))/6

x in { (18-6*7^(1/2))/6, (6*7^(1/2)+18)/6} 

x in { (18-6*7^(1/2))/6, (6*7^(1/2)+18)/6 }

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