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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
8/x-(x/3) = 46 // - 46
8/x-(x/3)-46 = 0
8*x^-1-1/3*x^1-46*x^0 = 0
(8*x^0-1/3*x^2-46*x^1)/(x^1) = 0 // * x^2
x^1*(8*x^0-1/3*x^2-46*x^1) = 0
x^1
(-1/3)*x^2-46*x+8 = 0
(-1/3)*x^2-46*x+8 = 0
DELTA = (-46)^2-(4*8*(-1/3))
DELTA = 6380/3
DELTA > 0
x = ((6380/3)^(1/2)+46)/(2*(-1/3)) or x = (46-(6380/3)^(1/2))/(2*(-1/3))
x = -3/2*((6380/3)^(1/2)+46) or x = -3/2*(46-(6380/3)^(1/2))
x in { -3/2*((6380/3)^(1/2)+46), -3/2*(46-(6380/3)^(1/2))}
x in { -3/2*((6380/3)^(1/2)+46), -3/2*(46-(6380/3)^(1/2)) }
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