x^2+1/x^2-2=0

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Solution for x^2+1/x^2-2=0 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^2+1/(x^2)-2 = 0

x^2+x^-2-2 = 0

t_1 = x^2

1*t_1^1+1*t_1^-1-2 = 0

1*t_1^1+1*t_1^-1-2*t_1^0 = 0

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

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

t_1^1

t_1^2-2*t_1+1 = 0

t_1^2-2*t_1+1 = 0

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

DELTA = 0

t_1 = 2/(1*2)

t_1 = 1 or t_1 = 1

t_1 in { 1, 1} 

t_1 = 1

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

t_1 = 1

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1, 1, -1 }

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