3x^2-(1/x^2)

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Solution for 3x^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)

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

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

t_1 = x^2

3*t_1^1-1*t_1^-1 = 0

3*t_1^1-1*t_1^-1 = 0

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

t_1^1*(3*t_1^2-1*t_1^0) = 0

t_1^1

3*t_1^2-1 = 0

3*t_1^2-1 = 0

DELTA = 0^2-(-1*3*4)

DELTA = 12

DELTA > 0

t_1 = (12^(1/2)+0)/(2*3) or t_1 = (0-12^(1/2))/(2*3)

t_1 = (3^(1/2))/3 or t_1 = (-3^(1/2))/3

t_1 in { (-3^(1/2))/3, (3^(1/2))/3} 

t_1 = (-3^(1/2))/3

x^2-((-3^(1/2))/3) = 0

1*x^2 = (-3^(1/2))/3 // : 1

x^2 = (-3^(1/2))/3

x^2 = (3^(1/2))/3 // ^ 1/2

abs(x) = 3^(-1/4)

x = 3^(-1/4) or x = -3^(-1/4)

t_1 = (3^(1/2))/3

x^2-((3^(1/2))/3) = 0

1*x^2 = (3^(1/2))/3 // : 1

x^2 = (3^(1/2))/3

x^2 = (3^(1/2))/3 // ^ 1/2

abs(x) = 3^(-1/4)

x = 3^(-1/4) or x = -3^(-1/4)

x in { 3^(-1/4), -3^(-1/4), 3^(-1/4), -3^(-1/4) }

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