3x-1/x+9

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

3*x^2+9*x-1 = 0

3*x^2+9*x-1 = 0

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

DELTA = 93

DELTA > 0

x = (93^(1/2)-9)/(2*3) or x = (-93^(1/2)-9)/(2*3)

x = (93^(1/2)-9)/6 or x = (-(93^(1/2)+9))/6

x in { (-(93^(1/2)+9))/6, (93^(1/2)-9)/6} 

x in { (-(93^(1/2)+9))/6, (93^(1/2)-9)/6 }

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