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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
x^2-(5*x)+5*x+6/(x^2)-14 = 0
x^2-5*x+5*x+6/(x^2)-14 = 0
x^2+6*x^-2-14 = 0
t_1 = x^2
1*t_1^1+6*t_1^-1-14 = 0
1*t_1^1+6*t_1^-1-14*t_1^0 = 0
(1*t_1^2-14*t_1^1+6*t_1^0)/(t_1^1) = 0 // * t_1^2
t_1^1*(1*t_1^2-14*t_1^1+6*t_1^0) = 0
t_1^1
t_1^2-14*t_1+6 = 0
t_1^2-14*t_1+6 = 0
DELTA = (-14)^2-(1*4*6)
DELTA = 172
DELTA > 0
t_1 = (172^(1/2)+14)/(1*2) or t_1 = (14-172^(1/2))/(1*2)
t_1 = (2*43^(1/2)+14)/2 or t_1 = (14-2*43^(1/2))/2
t_1 in { (14-2*43^(1/2))/2, (2*43^(1/2)+14)/2}
t_1 = (14-2*43^(1/2))/2
x^2-((14-2*43^(1/2))/2) = 0
1*x^2 = (14-2*43^(1/2))/2 // : 1
x^2 = (14-2*43^(1/2))/2
x^2 = (14-2*43^(1/2))/2 // ^ 1/2
abs(x) = ((14-2*43^(1/2))^(1/2))/(2^(1/2))
x = ((14-2*43^(1/2))^(1/2))/(2^(1/2)) or x = -(((14-2*43^(1/2))^(1/2))/(2^(1/2)))
t_1 = (2*43^(1/2)+14)/2
x^2-((2*43^(1/2)+14)/2) = 0
1*x^2 = (2*43^(1/2)+14)/2 // : 1
x^2 = (2*43^(1/2)+14)/2
x^2 = (2*43^(1/2)+14)/2 // ^ 1/2
abs(x) = ((2*43^(1/2)+14)^(1/2))/(2^(1/2))
x = ((2*43^(1/2)+14)^(1/2))/(2^(1/2)) or x = -(((2*43^(1/2)+14)^(1/2))/(2^(1/2)))
x in { ((14-2*43^(1/2))^(1/2))/(2^(1/2)), -(((14-2*43^(1/2))^(1/2))/(2^(1/2))), ((2*43^(1/2)+14)^(1/2))/(2^(1/2)), -(((2*43^(1/2)+14)^(1/2))/(2^(1/2))) }
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