3x^2-18/x^2

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Solution for 3x^2-18/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-(18/(x^2)) = 0

3*x^2-18*x^-2 = 0

t_1 = x^2

3*t_1^1-18*t_1^-1 = 0

3*t_1^1-18*t_1^-1 = 0

(3*t_1^2-18*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(3*t_1^2-18*t_1^0) = 0

t_1^1

3*t_1^2-18 = 0

3*t_1^2-18 = 0

DELTA = 0^2-(-18*3*4)

DELTA = 216

DELTA > 0

t_1 = (216^(1/2)+0)/(2*3) or t_1 = (0-216^(1/2))/(2*3)

t_1 = 6^(1/2) or t_1 = -6^(1/2)

t_1 in { -6^(1/2), 6^(1/2)} 

t_1 = -6^(1/2)

x^2+6^(1/2) = 0

1*x^2 = -6^(1/2) // : 1

x^2 = -6^(1/2)

t_1 = 6^(1/2)

x^2-6^(1/2) = 0

1*x^2 = 6^(1/2) // : 1

x^2 = 6^(1/2)

x^2 = 6^(1/2) // ^ 1/2

abs(x) = 6^(1/4)

x = 6^(1/4) or x = -6^(1/4)

x in { 6^(1/4), -6^(1/4) }

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