3x-1/x+5

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Solution for 3x-1/x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(1/x)+5 = 0

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

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

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

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

x^1

3*x^2+5*x-1 = 0

3*x^2+5*x-1 = 0

DELTA = 5^2-(-1*3*4)

DELTA = 37

DELTA > 0

x = (37^(1/2)-5)/(2*3) or x = (-37^(1/2)-5)/(2*3)

x = (37^(1/2)-5)/6 or x = (-(37^(1/2)+5))/6

x in { (-(37^(1/2)+5))/6, (37^(1/2)-5)/6} 

x in { (-(37^(1/2)+5))/6, (37^(1/2)-5)/6 }

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