2(-x^2)-1/-x^2

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Solution for 2(-x^2)-1/-x^2 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)

2*(-x)^2-(1/((-x)^2)) = 0

2*(-x)^2-x^-2 = 0

2*x^2-x^-2 = 0

t_1 = x^2

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

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

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

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

t_1^1

2*t_1^2-1 = 0

2*t_1^2-1 = 0

DELTA = 0^2-(-1*2*4)

DELTA = 8

DELTA > 0

t_1 = (8^(1/2)+0)/(2*2) or t_1 = (0-8^(1/2))/(2*2)

t_1 = (2^(1/2))/2 or t_1 = (-2^(1/2))/2

t_1 in { (-2^(1/2))/2, (2^(1/2))/2} 

t_1 = (-2^(1/2))/2

x^2-((-2^(1/2))/2) = 0

1*x^2 = (-2^(1/2))/2 // : 1

x^2 = (-2^(1/2))/2

t_1 = (2^(1/2))/2

x^2-((2^(1/2))/2) = 0

1*x^2 = (2^(1/2))/2 // : 1

x^2 = (2^(1/2))/2

x^2 = (2^(1/2))/2 // ^ 1/2

abs(x) = 2^(-1/4)

x = 2^(-1/4) or x = -2^(-1/4)

x in { 2^(-1/4), -2^(-1/4) }

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