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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(15/x)-5 = 0
3*x-15*x^-1-5 = 0
3*x^1-15*x^-1-5*x^0 = 0
(3*x^2-5*x^1-15*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-5*x^1-15*x^0) = 0
x^1
3*x^2-5*x-15 = 0
3*x^2-5*x-15 = 0
DELTA = (-5)^2-(-15*3*4)
DELTA = 205
DELTA > 0
x = (205^(1/2)+5)/(2*3) or x = (5-205^(1/2))/(2*3)
x = (205^(1/2)+5)/6 or x = (5-205^(1/2))/6
x in { (5-205^(1/2))/6, (205^(1/2)+5)/6}
x in { (5-205^(1/2))/6, (205^(1/2)+5)/6 }
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