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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(8/x) = 40 // - 40
3*x-(8/x)-40 = 0
3*x-8*x^-1-40 = 0
3*x^1-8*x^-1-40*x^0 = 0
(3*x^2-40*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-40*x^1-8*x^0) = 0
x^1
3*x^2-40*x-8 = 0
3*x^2-40*x-8 = 0
DELTA = (-40)^2-(-8*3*4)
DELTA = 1696
DELTA > 0
x = (1696^(1/2)+40)/(2*3) or x = (40-1696^(1/2))/(2*3)
x = (4*106^(1/2)+40)/6 or x = (40-4*106^(1/2))/6
x in { (40-4*106^(1/2))/6, (4*106^(1/2)+40)/6}
x in { (40-4*106^(1/2))/6, (4*106^(1/2)+40)/6 }
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