X^4+x^2+1/x^2+1

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Solution for X^4+x^2+1/x^2+1 equation: 


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^4+x^2+1/(x^2)+1 = 0

X^4+x^2+x^-2+1 = 0

t_1 = x^2

X^4+1*t_1^1+1*t_1^-1+1 = 0

1*t_1^1+1*t_1^-1+1*t_1^0 = 0

(1*t_1^2+1*t_1^1+1*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2+1*t_1^1+1*t_1^0) = 0

t_1^1

t_1^2+t_1+1 = 0

t_1^2+t_1+1 = 0

DELTA = 1^2-(1*1*4)

DELTA = -3

DELTA < 0

t_1 in { } 

x belongs to the empty set

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