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D( x )
x^4 = 0
x^2 = 0
x^4 = 0
x^4 = 0
1*x^4 = 0 // : 1
x^4 = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
4/(x^4)-(9/(x^2))-2 = 0
4/(x^4)-9*x^-2-2 = 0
4*x^-4-9*x^-2-2 = 0
t_1 = x^-2
4*t_1^2-9*t_1^1-2 = 0
4*t_1^2-9*t_1-2 = 0
DELTA = (-9)^2-(-2*4*4)
DELTA = 113
DELTA > 0
t_1 = (113^(1/2)+9)/(2*4) or t_1 = (9-113^(1/2))/(2*4)
t_1 = (113^(1/2)+9)/8 or t_1 = (9-113^(1/2))/8
t_1 = (9-113^(1/2))/8
x^-2-((9-113^(1/2))/8) = 0
1*x^-2 = (9-113^(1/2))/8 // : 1
x^-2 = (9-113^(1/2))/8
-2 < 0
1/(x^2) = (9-113^(1/2))/8 // * x^2
1 = ((9-113^(1/2))/8)*x^2 // : (9-113^(1/2))/8
8*(9-113^(1/2))^-1 = x^2
t_1 = (113^(1/2)+9)/8
x^-2-((113^(1/2)+9)/8) = 0
1*x^-2 = (113^(1/2)+9)/8 // : 1
x^-2 = (113^(1/2)+9)/8
-2 < 0
1/(x^2) = (113^(1/2)+9)/8 // * x^2
1 = ((113^(1/2)+9)/8)*x^2 // : (113^(1/2)+9)/8
8*(113^(1/2)+9)^-1 = x^2
x^2 = 8*(113^(1/2)+9)^-1 // ^ 1/2
abs(x) = 2*2^(1/2)*(113^(1/2)+9)^(-1/2)
x = 2*2^(1/2)*(113^(1/2)+9)^(-1/2) or x = -(2*2^(1/2)*(113^(1/2)+9)^(-1/2))
x in { 2*2^(1/2)*(113^(1/2)+9)^(-1/2), -(2*2^(1/2)*(113^(1/2)+9)^(-1/2)) }
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