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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
-5/x-8 = x/3 // - x/3
-(x/3)-5/x-8 = 0
-1/3*x^1-5*x^-1-8*x^0 = 0
(-1/3*x^2-8*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(-1/3*x^2-8*x^1-5*x^0) = 0
x^1
(-1/3)*x^2-8*x-5 = 0
(-1/3)*x^2-8*x-5 = 0
DELTA = (-8)^2-(-5*4*(-1/3))
DELTA = 172/3
DELTA > 0
x = ((172/3)^(1/2)+8)/(2*(-1/3)) or x = (8-(172/3)^(1/2))/(2*(-1/3))
x = -3/2*((172/3)^(1/2)+8) or x = -3/2*(8-(172/3)^(1/2))
x in { -3/2*((172/3)^(1/2)+8), -3/2*(8-(172/3)^(1/2))}
x in { -3/2*((172/3)^(1/2)+8), -3/2*(8-(172/3)^(1/2)) }
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