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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-(15/x)-3 = 2*x // - 2*x
5*x-(2*x)-(15/x)-3 = 0
5*x-2*x-15*x^-1-3 = 0
3*x^1-15*x^-1-3*x^0 = 0
(3*x^2-3*x^1-15*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-3*x^1-15*x^0) = 0
x^1
3*x^2-3*x-15 = 0
3*x^2-3*x-15 = 0
DELTA = (-3)^2-(-15*3*4)
DELTA = 189
DELTA > 0
x = (189^(1/2)+3)/(2*3) or x = (3-189^(1/2))/(2*3)
x = (3*21^(1/2)+3)/6 or x = (3-3*21^(1/2))/6
x in { (3-3*21^(1/2))/6, (3*21^(1/2)+3)/6}
x in { (3-3*21^(1/2))/6, (3*21^(1/2)+3)/6 }
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