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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5/x-((8/3)*x) = 46 // - 46
5/x-((8/3)*x)-46 = 0
(-8/3)*x+5/x-46 = 0
5*x^-1-8/3*x^1-46*x^0 = 0
(5*x^0-8/3*x^2-46*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-8/3*x^2-46*x^1) = 0
x^1
(-8/3)*x^2-46*x+5 = 0
(-8/3)*x^2-46*x+5 = 0
DELTA = (-46)^2-(4*5*(-8/3))
DELTA = 6508/3
DELTA > 0
x = ((6508/3)^(1/2)+46)/(2*(-8/3)) or x = (46-(6508/3)^(1/2))/(2*(-8/3))
x = -3/16*((6508/3)^(1/2)+46) or x = -3/16*(46-(6508/3)^(1/2))
x in { -3/16*((6508/3)^(1/2)+46), -3/16*(46-(6508/3)^(1/2))}
x in { -3/16*((6508/3)^(1/2)+46), -3/16*(46-(6508/3)^(1/2)) }
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