(36x^2+12x-18)/(12x^3)

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Solution for (36x^2+12x-18)/(12x^3) equation: 


D( x )

12*x^3 = 0

12*x^3 = 0

12*x^3 = 0

12*x^3 = 0 // : 12

x^3 = 0

x = 0

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

(36*x^2+12*x-18)/(12*x^3) = 0

36*x^2+12*x-18 = 0

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

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

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

DELTA = 76

DELTA > 0

x = (76^(1/2)-2)/(2*6) or x = (-76^(1/2)-2)/(2*6)

x = (2*19^(1/2)-2)/12 or x = (-2*19^(1/2)-2)/12

6*(x-((-2*19^(1/2)-2)/12))*(x-((2*19^(1/2)-2)/12)) = 0

(6*(x-((-2*19^(1/2)-2)/12))*(x-((2*19^(1/2)-2)/12)))/(12*x^3) = 0

( x-((-2*19^(1/2)-2)/12) )

x-((-2*19^(1/2)-2)/12) = 0 // + (-2*19^(1/2)-2)/12

x = (-2*19^(1/2)-2)/12

( x-((2*19^(1/2)-2)/12) )

x-((2*19^(1/2)-2)/12) = 0 // + (2*19^(1/2)-2)/12

x = (2*19^(1/2)-2)/12

x in { (-2*19^(1/2)-2)/12, (2*19^(1/2)-2)/12 }

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