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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-8 = 30/x // - 30/x
3*x-(30/x)-8 = 0
3*x-30*x^-1-8 = 0
3*x^1-30*x^-1-8*x^0 = 0
(3*x^2-8*x^1-30*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-8*x^1-30*x^0) = 0
x^1
3*x^2-8*x-30 = 0
3*x^2-8*x-30 = 0
DELTA = (-8)^2-(-30*3*4)
DELTA = 424
DELTA > 0
x = (424^(1/2)+8)/(2*3) or x = (8-424^(1/2))/(2*3)
x = (2*106^(1/2)+8)/6 or x = (8-2*106^(1/2))/6
x in { (8-2*106^(1/2))/6, (2*106^(1/2)+8)/6}
x in { (8-2*106^(1/2))/6, (2*106^(1/2)+8)/6 }
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