3x^2-(48/x^2)

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Solution for 3x^2-(48/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-(48/(x^2)) = 0

3*x^2-48*x^-2 = 0

t_1 = x^2

3*t_1^1-48*t_1^-1 = 0

3*t_1^1-48*t_1^-1 = 0

(3*t_1^2-48*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(3*t_1^2-48*t_1^0) = 0

t_1^1

3*t_1^2-48 = 0

3*t_1^2-48 = 0

DELTA = 0^2-(-48*3*4)

DELTA = 576

DELTA > 0

t_1 = (576^(1/2)+0)/(2*3) or t_1 = (0-576^(1/2))/(2*3)

t_1 = 4 or t_1 = -4

t_1 in { -4, 4} 

t_1 = -4

x^2+4 = 0

1*x^2 = -4 // : 1

x^2 = -4

t_1 = 4

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in { 2, -2 }

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