3x^2-27/x^2=0

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Solution for 3x^2-27/x^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)

3*x^2-(27/(x^2)) = 0

3*x^2-27*x^-2 = 0

t_1 = x^2

3*t_1^1-27*t_1^-1 = 0

3*t_1^1-27*t_1^-1 = 0

(3*t_1^2-27*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(3*t_1^2-27*t_1^0) = 0

t_1^1

3*t_1^2-27 = 0

3*t_1^2-27 = 0

DELTA = 0^2-(-27*3*4)

DELTA = 324

DELTA > 0

t_1 = (324^(1/2)+0)/(2*3) or t_1 = (0-324^(1/2))/(2*3)

t_1 = 3 or t_1 = -3

t_1 in { -3, 3} 

t_1 = -3

x^2+3 = 0

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

x^2 = -3

t_1 = 3

x^2-3 = 0

1*x^2 = 3 // : 1

x^2 = 3

x^2 = 3 // ^ 1/2

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

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

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

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