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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(30/3)*x+1/x-15-5 = 11/3 // - 11/3
(30/3)*x+1/x-(11/3)-15-5 = 0
(30/3)*x+1/x-11/3-15-5 = 0
10*x^1+1*x^-1-71/3*x^0 = 0
(10*x^2-71/3*x^1+1*x^0)/(x^1) = 0 // * x^2
x^1*(10*x^2-71/3*x^1+1*x^0) = 0
x^1
10*x^2+(-71/3)*x+1 = 0
10*x^2+(-71/3)*x+1 = 0
DELTA = (-71/3)^2-(1*4*10)
DELTA = 4681/9
DELTA > 0
x = ((4681/9)^(1/2)-(-71/3))/(2*10) or x = (-(-71/3)-(4681/9)^(1/2))/(2*10)
x = ((4681/9)^(1/2)+71/3)/20 or x = (71/3-(4681/9)^(1/2))/20
x in { (71/3-(4681/9)^(1/2))/20, ((4681/9)^(1/2)+71/3)/20}
x in { (71/3-(4681/9)^(1/2))/20, ((4681/9)^(1/2)+71/3)/20 }
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